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MidtermSet 11.0 PointsQuestion 1 of 25 1.0/ 1.0 PointsA population includes:A.all objects of interest in a particular studyB.only householdsC.only peopleD.only machinesPart 2 of 9 - 1.0/ 2.0 PointsQuestion 2 of 25 1.0/ 1.0 PointsThe probability of an event and the probability of its complement always sum to:A.any value between 0 and 1B.1.0C.0D.any positive valueQuestion 3 of 25 0.0/ 1.0 PointsIf A and B are mutually exclusive events with P(A) = 0.70, then P(B):A.can be any value between 0 and 0.70B.cannot be determined with the information givenC.can be any value between 0 and 1D.cannot be larger than 0.30Part 3 of 9 - 3.0/ 3.0 PointsQuestion 4 of 25 1.0/ 1.0 PointsA die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.A.60B.50C.7.1D.5.9Question 5 of 25 1.0/ 1.0 PointsIf a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.A.0.19B.0.17C.0.08D.0.23Find the variance of the following probability distribution.X P(X)1 0.102 0.353 0.104 0.155 0.30A.1.44B.2.06C.1.76D.1.2Question 7 of 25 1.0/ 1.0 PointsThe continuous distribution characterized by a symmetric, bell-shaped curve is the:A.Poisson distributionB.binomial distributionC.exponential distributionD.normal distributionQuestion 8 of 25 1.0/ 1.0 PointsThe average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.A. 0.67B.0.89C.0.95D.0.11Question 9 of 25 1.0/ 1.0 PointsThe standard deviation of a probability distribution must be:A.a negative numberB.a number between 0 and 1C.a nonnegative numberD.less than the value of the meanQuestion 10 of 25 1.0/ 1.0 PointsIn a normal distribution, changing the standard deviation:A.splits the distribution to two curvesB.shifts the curve left or rightC.makes the curve more or less spread outD.makes the curve more robustQuestion 11 of 25 1.0/ 1.0 PointsIf the value of the standard normal random variable Z is positive, then the original score is where in relationship to the mean?A.one standard deviation higher than the meanB.equal to the meanC.to the left of the meanD.to the right of the meanQuestion 12 of 25 1.0/ 1.0 PointsThe standard normal distribution has a mean of ___ and standard deviation of ___, respectively.A.1 and 1B.1 and 0C.0 and 1D.0 and 0Part 5 of 9 - 1.0/ 1.0 PointsQuestion 13 of 25 1.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.Compute the median number of children. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry. 1.5Part 6 of 9 - 0.0/ 2.0 PointsQuestion 14 of 25 0.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.Number of Products PurchasedBrands Purchased Fewer Same More TotalSame 10 14 24 48Changed 262 82 8 352Total 272 96 32 400Given that a consumer changed brands, what then is the probability that the consumer purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. 0.1165Question 15 of 25 0.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.x 0 1 2 3 4 5 6P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03What is the standard deviation of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry. 2.62Part 7 of 9 - 1.0/ 2.0 PointsQuestion 16 of 25 1.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A jar contains four white marbles, five red marbles, and six black marbles. If a marble was selected at random, find the probability that it is white or black. Place your answer, rounded to 2 decimal places in the blank. For example 0.23 would be a legitimate entry. 0.67Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.An urn contains 12 balls identical in every respect except their color. There are 3 red balls, 7 green balls, and 2 blue balls. You draw two balls from the urn, but replace the first ball before drawing the second. Find the probability that the first ball drawn is red and the second ball drawn is green. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.4567 would be a legitimate entry. 0.1591Part 8 of 9 - 6.0/ 6.0 PointsQuestion 18 of 25 1.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.Find the mean of the sampling distribution of the means of average weekly earnings for samples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 123 would be a legitimate entry. 450Question 19 of 25 1.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry. 636Question 20 of 25 1.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.What score represents the 60th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry. 69Question 21 of 25 1.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.Find probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate entry. 0.1587Question 22 of 25 1.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.Find the probability that the mean of the sample is between $445 and $455. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate entry. 0.6827Question 23 of 25 1.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.What is the probability of getting a score higher than 71 on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry. 0.5987Part 9 of 9 - 2.0/ 2.0 PointsQuestion 24 of 25 1.0/ 1.0 PointsA random variable X is standardized when each value of X has the mean of X subtracted from it, and the difference is divided by the standard deviation of X.TrueFalseQuestion 25 of 25 1.0/ 1.0 PointsUsing the standard normal curve, the Z- score representing the 5th percentile is 1.645.TrueFalseSet 2Part 1 of 25APUS Math302-Mid TermQuestion 1 of 251.0 PointsThe total frequency of the data whose ogive is shown below is approximately A.12 B.34 C.90 D.18Reset SelectionPart 2 of 9 -Question 2 of 251.0 PointsThe probability of an event and the probability of its complement always sum to: A.0 B.any positive value C.any value between 0 and 1 D.1.0Reset SelectionQuestion 3 of 251.0 PointsWhat is the probability of drawing two queens in a row from a standard deck of cards without replacement? A.0.0015 B.0.0059 C.0.0045 D.0.0385Reset SelectionPart 3 of 9 -Question 4 of 251.0 PointsThe binomial distribution can occur in which of the following situations? I. whenever we are interested in the number of events that occur over a given interval of time II. whenever we sample from a population with only two types of members III. whenever we perform a sequence of identical experiments, each of which has only two possible outcomes  A.I only B.I and II C.II and III D.All of the aboveReset SelectionQuestion 5 of 251.0 PointsSuppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours? A.0.0839 B.0.1186 C.0.9169 D.0.7792Reset SelectionQuestion 6 of 251.0 PointsFind the variance of the following probability distribution. XP(X)10.2020.1530.2540.2550.15 A.1.34 B.1.8 C.0.48 D.1.16Reset SelectionPart 4 of 9 -Question 7 of 251.0 PointsIn a normal distribution, changing the standard deviation: A.splits the distribution to two curves B.shifts the curve left or right C.makes the curve more robust D.makes the curve more or less spread outReset SelectionQuestion 8 of 251.0 PointsThe theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the: A.central limit theorem B.simple random sample theorem C.point estimate theorem D.central tendency theoremReset SelectionQuestion 9 of 251.0 PointsGiven that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 < X < 90) is A.0.5328 B.0.1498 C.0.1915 D.0.3413Reset SelectionQuestion 10 of 251.0 PointsThe average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall. A. 0.67 B.0.89 C.0.95 D.0.11Reset SelectionQuestion 11 of 251.0 PointsGiven that Z is a standard normal variable, the value z for which P(Z < z) = 0.2580 is A.-0.65 B.0.758 C.-0.70 D.0.242Reset SelectionQuestion 12 of 251.0 PointsThe continuous distribution characterized by a symmetric, bell-shaped curve is the: A.Poisson distribution B.binomial distribution C.normal distribution D.exponential distributionReset SelectionPart 5 of 9 -Question 13 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A sample of 150 students at a State University was taken after the final business statistics exam to ask them whether they went partying the weekend before the final or spent the weekend studying, and whether they did well or poorly on the final. The following table contains the result.Did Well in ExamDid Poorly in ExamStudying for Exam6015Went Partying2253Of those in the sample who went partying the weekend before the final exam, what percentage of them did well in the exam? Place your answer in the blank, rounded to 2 decimal places. Do not use a percentage sign (%). For example, 44.44 would be a legitmate answer. Part 6 of 9 -Question 14 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Find the mean of the following probability distribution.X12345P(X)0.200.100.350.050.30Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.Mean =  Question 15 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.x0123456P (X=x)0.550.150.100.100.040.030.03Find P(X > 0). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry. Part 7 of 9 -Question 16 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events: = chocolate chosen= strawberry chosen = vanilla chosen = ice cream on a coneice cream in a cupFind the probability that the ice cream was chocolate flavor, given that it was sold on a cone.Placeyour answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry. Question 17 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. At a certain college, there were 600 science majors, 200 engineering majors, and 500 business majors. If a student is selected at random, what is the probability that the student is an engineering major? Place your answer, rounded to four decimal places, in the blank.  When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry.Part 8 of 9 -Question 18 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.45. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $6.75? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate entry.  Question 19 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9. What is the probability that a randomly selected customer will spend between $20 and $35 at this store? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry. Question 20 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30. How many chicken sandwiches must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry. Question 21 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For a door selected at random, what is the probability the assembly line time will be between 5 and 10 minutes? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate answer. Question 22 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random. Find probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate entry.  Question 23 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8. What is the probability of getting a score of 91 or less on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry.  Part 9 of 9 -Question 24 of 251.0 PointsUsing the standard normal curve, the Z- score representing the 75th percentile is approximately 0.674. True FalseReset SelectionQuestion 25 of 251.0 PointsA random variable X is standardized when each value of X has the mean of X subtracted from it, and the difference is divided by the standard deviation of X.SET 3uestion 1 of 25The mode is best described as theA.same as the averageB.middle observationC.most frequently occurring valueD.50th percentilePart 2 of 9 -Question 2 of 25A jar contains four white marbles, five red marbles, and six black marbles. If a marble is selected at random, find theprobability that it is white or black .A.2/15B.2/3C.1/5D.2/5Question 3 of 25The formal way to revise probabilities based on new information is to use:A.common sense probabilitiesB.unilateral probabilitiesC.complementary probabilitiesD.conditional probabilitiesPart 3 of 9 -Question 4 of 25If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum ofthree, he wins $20. The cost to play the game is $5. What is the expectation of thisgame?A.$3.06B.-$2.78C.-$3.06D.$2.78Question 5 of 25Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours?A.0.7792B.0.1186C.0.0839D.0.9169Question 6 of 25A drug is reported to benefit 40% of the patients who take it. If 6 patients take the drug, what is the probability that 4 or more patients will benefit?A.0.667B.0.179C.0.138D.0.862Part 4 of 9 -Question 7 of 25Find the probability, P(Z < 0.17), using the standard normal distribution.A..8300B..4325C..5675D..0675Question 8 of 25Given that Z is a standard normal variable, the value z for which P(Z < z) = 0.2580 isA.-0.65B.-0.70C.0.242D.0.758Question 9 of 25The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.A. 0.67B.0.89C.0.95D.0.11Question 10 of 25If Z is a standard normal random variable, the area between z = 0.0 and z =1.30 is 0.4032, while the area between z = 0.0 and z = 1.50 is 0.4332. What is the area between z = -1.30 and z = 1.50?A.0.8364B.0.0668C.0.0968D.0.0300Question 11 of 25Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 < X <90) isA.0.5328B.0.3413C.0.1498D.0.1915Question 12 of 25In a normal distribution, changing the standard deviation:A.makes the curve more robustB.shifts the curve left or rightC.makes the curve more or less spread outD.splits the distribution to two curvesPart 5 of 9 -Question 13 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that an analysis of a set of test scores reveals that:.Compute the interquartile range. Place your answer, rounded to 1 decimal place, in the blank. For example, 32.1 would be a legitimate entry.Part 6 of 9 -Question 14 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The following data were obtained from a survey of college students. The variable X represents the numberof non-assigned books read during the past six months.xP (X=x)00.5510.1520.1030.1040.0450.0360.03What is the standard deviation of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry.Question 15 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A DVD rental business determines that customers will rent X number of DVDs according to the following distribution:Number of DVDs rented XProbability P(X)123450.15 0.25 0.3 0.25 0.05What is the mean number of DVDs that customers rent? Round your answer to one decimal place as necessary. Forexample, 4.5 would be a legitimate entry.Answer:Part 7 of 9 -Question 16 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the publicabout the harm caused by drunk drivers. A study was recently done that emphasized the problem we allface with drinking and driving. Five hundred accidents that occurred on a Saturday night wereanalyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in theaccident. The numbers are shown below:Number of Vehicles InvolvedDid alcohol play a role?YesNo1604010021102153253304575200300Given that alcohol was not involved, what proportion of the accidents involved a single vehicle? Place youranswer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimateanswer.Question 17 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the publicabout the harm caused by drunk drivers. A study was recently done that emphasized the problem we allface with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed.Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.The numbers are shown below:Number of Vehicles InvolvedDid alcohol play a role?123200Yes6011030300No402154510032575What proportion of accidents involved alcohol or a single vehicle?Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.Part 8 of 9 -Question 18 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Mrs. Smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award.Assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award? Place your answer, rounded to the nearest whole number, in the When entering your answer do not use any labels or blank.symbols. Simply provide the numerical value. For example, 123 would be a legitimate entry.Question 19 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normaldistribution with a mean of $30 and a standard deviation of $9.What is the probability that a randomly selected customer will spend less than $15 at this store? Place your answer,rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.Question 20 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam. What score represents the 70th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry.Question 21 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.45. Assumethat the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is theprobability that the worker earns more than $6.75? Place your answer, rounded to 4 decimal places, in the blank. Forexample, 0.1776 would be a legitimate entry.Question 22 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The length of time to complete a door assembly on an automobile factory assembly line isnormally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For adoor selected at random, what is the probability the assembly line time will be between 5and 10 minutes? Place your answer, rounded to 4 decimal places, in the blank. Forexample, 0.1776 would be a legitimate answer.Question 23 of 25Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., asthousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST beused as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that thestandard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.Find the probability that the mean of the sample is between $445 and $455. Place your answer, rounded to 4 decimalplaces, in the blank. For example, 0.2345 would be a legitimate entry.Part 9 of 9 -Question 24 of 25Using the standard normal curve, the Z- score representing the 10th percentile is 1.28.TrueFalseQuestion 25 of 25If Z is a standard normal variable, then P(Z > 1.50) = 0.9332TrueFalseSET 4Part 1 of 9 -Question 1 of 25 1.0 PointsThe mode is best described as theA.same as the averageB.middle observationC.most frequently occurring valueD.50th percentileReset SelectionPart 2 of 9 -Question 2 of 25 1.0 PointsThe table below shows the number of TVs and the number of Blu-Ray players that residents in an apartment building have according to the type of apartment that they live in.1-bedroom 2-bedroom studioTV 8 6 4Blu-Ray3 1 2What is the probability of randomly selecting an apartment which has 1 bedroom or a Blu-Ray player?A.0.273B.0.125C.0.708D.0.583Reset SelectionQuestion 3 of 25 1.0 PointsA jar contains four white marbles, five red marbles, and six black marbles. If a marble is selected at random, find the probability that it is white or black .A.2/15B.2/3C.1/5D.2/5Reset SelectionPart 3 of 9 -Question 4 of 25 1.0 PointsThe following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.x 0 1 2 3 4 5P (X=x)0.20 0.25 0.20 0.15 0.10 0.10Find P( X 3)A.0.15B.0.85C.0.80D.0.20Question 5 of 25 1.0 PointsA pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?A.0.081B.0.243C.0.027D.0.003Reset SelectionQuestion 6 of 25 1.0 PointsSuppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours?A.0.9169B.0.1186C.0.7792D.0.0839Reset SelectionPart 4 of 9 -Question 7 of 25 1.0 PointsIn a normal distribution, changing the standard deviation:A.makes the curve more or less spread outB.splits the distribution to two curvesC.makes the curve more robustD.shifts the curve left or rightReset SelectionQuestion 8 of 25 1.0 PointsThe theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the:A.simple random sample theoremB.central limit theoremC.central tendency theoremD.point estimate theoremReset SelectionQuestion 9 of 25 1.0 PointsThe normal distribution is:A.a binomial distribution with only one parameterB.the single most important distribution in statisticsC.a discrete distributionD.a density function of a discrete random variableReset SelectionQuestion 10 of 25 1.0 PointsThe standard deviation of is usually called theTHIS LINE ABOVE IS INCOMPLETE, MY ANS IS BASED ON A GUESSA.standard error of the sampleB.standard error of the populationC.standard error of the meanD.randomized standard errorReset SelectionQuestion 11 of 25 1.0 PointsThe continuous distribution characterized by a symmetric, bell-shaped curve is the:A.binomial distributionB.Poisson distributionC.exponential distributionD.normal distributionReset SelectionQuestion 12 of 25 1.0 PointsThe mean of a probability distribution is a:A. measure of variability of the distributionB. measure of central locationC. measure of relative likelihoodD. measure of skewness of the distributionReset SelectionPart 5 of 9 -Question 13 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A sample of 150 students at a State University was taken after the final business statistics exam to ask them whether they went partying the weekend before the final or spent the weekend studying, and whether they did well or poorly on the final. The following table contains the result.Did Well in Exam Did Poorly in ExamStudying for Exam 60 15Went Partying 22 53Of those in the sample who went partying the weekend before the final exam, what percentage of them did well in the exam? Place your answer in the blank, rounded to 2 decimal places. Do not use a percentage sign (%). For example, 44.44 would be a legitmate answer.Part 6 of 9 -Question 14 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.It has been observed that electrical connectors manufactured by Jolt Electrical Supply Company last an average of 18.2 months and follow a normal distribution with a standard deviation of 1.7 months. Jolt agrees to replace any connector that fails within 19 months. Out of 500 connectors sold, how many does Jolt expect to replace, on average? Place your answer, rounded to the nearest whole number, in the blank. For example, 123 would be a legitimate answer. _____Question 15 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Ann is applying for a bank loan to open a pizza franchise. She must first complete a written application and then, if the written application is approved, be interviewed by bank officers. If an applicant’s written application is not approved the applicant is not granted an interview with the bank officers. Past records for this bank show that the probability of an applicant having his or her written application approved is 0.63. Records also indicate that the interviewing committee of bank officers approves 85% of the individuals they interview. Find the probability that Ann’s loan request is approved. Place your answer, rounded to 2 decimal places, in the blank. For example, 0.76 would be a legitimate entry. ___Question 16 of 25____________1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, aperiod MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the salesare chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. Thepercentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. Fora randomly selected sale, define the following events:1 = chocolate chosen2 = strawberry chosen3= vanilla chosen= ice cream on a cone= ice cream in a cupFind the probability that the ice cream was vanilla flavor, given that it was sold on a cone. Placeyour answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.______________Part 7 of 9 Question 17 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, aperiod MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that a marketing firm sends questionnaires to two different companies. Based on historicalevidence, the marketing research firm believes that each company, independently of the other, will returnthe questionnaire with a probability of 0.30. What is the probability that both questionnaires will bereturned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimateentry._________________Part 8 of 9 Question 18 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, aperiod MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that the average weekly earnings for employees in general automotive repair shops is $450, andthat the standard deviation for the weekly earnings for such employees is $50. A sample of 100 suchemployees is selected at random.Find probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimalplaces, in the blank. For example, 0.2345 would be a legitimate entry._______________Question 19 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, aperiod MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A set of final exam scores in an organic chemistry course was found to be normally distributed, with amean of 73 and a standard deviation of 8.What is the probability of getting a score of 68 or less on this exam? Place your answer, rounded to 4decimal places in the blank. For example, 0.3456 would be a legitimate entry.____________Question 20 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, aperiod MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that the average weekly earnings for employees in general automotive repair shops is $450, andthat the standard deviation for the weekly earnings for such employees is $50. A sample of 100 suchemployees is selected at random.Find the probability that the mean of the sample is greater than $460. Place your answer, rounded to 4decimal places, in the blank. For example, 0.2345 would be a legitimate answer.____________Question 21 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, aperiod MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, thedemand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and thedemand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day? Placeyou answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimateentry.Question 22 of 25_________________1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, aperiod MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that the average weekly earnings for employees in general automotive repair shops is $450, andthat the standard deviation for the weekly earnings for such employees is $50. A sample of 100 suchemployees is selected at random. ____________Find the standard deviation of the sampling distribution of the means of average weekly earnings forsamples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 7 would bea legitimate entry.___________________Question 23 of 251.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, aperiod MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption ismound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 suchcars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?Place your answer, rounded to 4 decimal places, in the blank.___________Part 9 of 9 Question 24 of 251.0 PointsUsing the standard normal curve, the Z- score representing the 99th percentile is 2.326.TrueFalseReset SelectionQuestion 25 of 251.0 PointsUsing the standard normal curve, the Z- score representing the 10th percentile is 1.28.TrueFalseReset SelectionSET 5Part 1 of 9 -Question 1 of 25 1.0 PointsWhich of the following are the three most common measures of central location?A.Mean, median, and varianceB.Mean, median, and standard deviationC.Mean, variance, and standard deviationD.Mean, median, and modeReset SelectionPart 2 of 9 -Question 2 of 25 1.0 PointsThe table below shows the preferences for elective courses of students who are undecided about their majors.Philosophy Digital Art Film StudiesMale 9 16 22Female 6 18 14What is the probability of randomly selecting a student who is female or prefers Digital Art?A.21.2%B.84.7%C.46.2%D.63.5%Reset SelectionQuestion 3 of 25 1.0 PointsIf two events are mutually exclusive, what is the probability that both occur at the same time?A.0.00B.0.50C.1.00D.Cannot be determined from the information given.Reset SelectionPart 3 of 9 -Question 4 of 25 1.0 PointsA die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.A.60B.50C.7.1D.5.9Reset SelectionQuestion 5 of 25 1.0 PointsSuppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.What is the probability that greater than 30 batteries will last at least 8 hours?A.0.0848B.0.8594C.0.9522D.0.9152Reset SelectionQuestion 6 of 25 1.0 PointsIf a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.A.0.19B.0.17C.0.08D.0.23Reset SelectionPart 4 of 9 -Question 7 of 25 1.0 PointsIf the value of the standard normal random variable Z is positive, then the original score is where in relationship to the mean?A.equal to the meanB.to the left of the meanC.to the right of the meanD.one standard deviation higher than the meanReset SelectionQuestion 8 of 25 1.0 PointsOne reason for standardizing random variables is to measure variables with:A.dissimilar means and similar standard deviations in like termsB.different means and standard deviations on a non-standard scaleC.different means and standard deviations on a single scaleD.similar means and standard deviations on two scalesReset SelectionQuestion 9 of 25 1.0 PointsIn a normal distribution, changing the standard deviation:A.shifts the curve left or rightB.splits the distribution to two curvesC.makes the curve more or less spread outD.makes the curve more robustReset SelectionQuestion 10 of 25 1.0 PointsThe mean of a probability distribution can be:A.a positive numberB.a negative numberC.zeroD.all of the aboveReset SelectionQuestion 11 of 25 1.0 PointsGiven that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 < X < 90) isA.0.1915B.0.3413C.0.5328D.0.1498Reset SelectionQuestion 12 of 25 1.0 PointsThe normal distribution is:A.a binomial distribution with only one parameterB.a density function of a discrete random variableC.a discrete distributionD.the single most important distribution in statisticsReset SelectionPart 5 of 9 -Question 13 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The histogram below represents scores achieved by 250 job applicants on a personality profile.The histogram below represents scores achieved by 250 job applicants on a personality profile.How many job applicants scored between 10 and 30? Place your answer in the blank. Do not use any stray symbols. For example, 123 would be a legitimate answer.Part 6 of 9 -Question 14 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that more than three of them will experience a bad side effect? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate answer.Question 15 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A school determines that the number of children X in the families who attend the school follows the distribution below:Number of children X 1 2 3 4 5Probability P(X) 0.20 0.35 0.25 0.15 0.05What is the mean number of children per family? Round your answer to one decimal place as necessary. For example, 4.5 would be a legitimate entry.Answer:Part 7 of 9 -Question 16 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.According to an Internet posting, 80% of adults enjoy drinking beer. If a group of 3 adults is selected at random, find the probability that none of them enjoy drinking beer.Place your answer, rounded to three decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.123 would be a legitimate entry.Question 17 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A restaurant menu has a price-fixed complete dinner that consists of an appetizer, entrée, beverage, and dessert. You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible? Place your answer, as a whole number—no decimal places—in the blank. For example 176 would be a legitimate entryPart 8 of 9 -Question 18 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.What score represents the 70th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry.Question 19 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry.Question 20 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9.What are the two dollar amounts, equidistant from the mean of $30, such that 98% of all customer purchases are between these values? Place your answers in the blanks provided. Do not include a dollar sign. For example, 14.25 would be a legitimate entry.Lower valueUpper valueQuestion 21 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9.What is the probability that a randomly selected customer will spend $20 or more at this store? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.Question 22 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Mrs. Smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. Assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award? Place your answer, rounded to the nearest whole number, in the blank. When entering your answer do not use any labels or symbols. Simply provide the numerical value. For example, 123 would be a legitimate entry.Question 23 of 25 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.What score represents the 60th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry.Part 9 of 9 -Question 24 of 25 1.0 PointsUsing the standard normal curve, the Z- score representing the 10th percentile is 1.28. TrueFalseReset SelectionQuestion 25 of 25 1.0 PointsThe left half under the normal curve is slightly smaller than the right half. TrueFalseFinal Set 1Part 1 of 16 -Question 1 of 231.0 PointsThe data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01 level of significance, is the proportion of seeds that germinate dependent on the seed type?Seed TypeObserved FrequenciesGerminatedFailed to Germinate131725733387604524451019A.Yes, because the test value 16.86 is greater than the critical value of 13.28B.Yes, because the test value 16.86 is less than the critical value of 14.86C.No, because the test value 16.86 is greater than the critical value of 13.28D.No, because the test value 13.28 is less than the critical value of 16.86Reset SelectionQuestion 2 of 231.0 PointsA company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.MachineShiftABCD14120121623111914315171610A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592.B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592.C.The number of breakdowns is dependent on the shift, because the p-value is .07.D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.Reset SelectionPart 2 of 16 -Question 3 of 231.0 PointsA single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:A.directly relatedB.inversely relatedC.highly correlatedD.mutually exclusiveReset SelectionQuestion 4 of 231.0 PointsOutliers are observations thatA.lie outside the typical pattern of pointsB.disrupt the entire linear trendC.lie outside the sampleD.render the study uselessReset SelectionQuestion 5 of 231.0 PointsThe marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. .Store123456Shelf Space555101010Weekly Sales1.62.21.41.92.42.6Store789101112Shelf Space151515202020Weekly Sales2.32.72.82.62.93.1Is the correlation between weekly sales and shelf space significant at the .01 level of significance?A.Yes, the computed t-test statistic is less than the critical value.B.Yes, the p-value of the test for significance is less than .01.C.No, the sample correlation coefficient does not exceed the critical value.D.Yes, the value of the test statistic does not exceed the critical value.Reset SelectionPart 3 of 16 -Question 6 of 231.0 PointsSerum ferritin is used in diagnosing iron deficiency. In a study conducted recently researchers discovered that in a sample of 28 elderly men the sample standard deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard deviation was 84.2 mg/L. At the .01 level of significance, do these data support the conclusion that the ferritin distribution in elderly men has a smaller variance than in younger men?A.Yes, because the test value 2.56 is greater than the critical value 0.394B.Yes, because the test value 0.390 is less than the critical value 2.54C.No, because the test value 1.60 is less than the critical value of 2.54D.Yes, because the test value 2.56 is greater than the critical value of 2.54Reset SelectionQuestion 7 of 231.0 PointsQ-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money spent by its female charge customers differs, on average, from the amount spent by its male charge customers. To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the sample standard deviation of the amount charged by the 22 men was $59.695. Using the procedure advocated by Bluman, at the 10% level of significance, is there sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women charge customers differs from the amount spent by men charge customers.A.No, the test value does not exceed the critical value.B.Yes, the test value does not exceed the critical valueC.No, the p-value of this test is less than 0.10.D.Yes, the p-value of this test is greater than 0.10Reset SelectionPart 4 of 16 -Question 8 of 231.0 PointsIn an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.State the null and alternative hypotheses.A.H0: 75, H1: > 75B.H0: = 75, H1: > 75C.H0: 75, H1: < 75D.H0: = 75, H1: ? 75Reset SelectionQuestion 9 of 231.0 PointsA lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?At thea = .01 level of significance, what is your conclusion?A.Do not reject H0. At the = .01 level of significance there is not sufficient evidence to suggest that this technician’s true variance is greater than the target accuracy.B. Reject H0. At the = .01 level of significance, there is not enough evidence to support the claim that this technician’s true variance is larger than the target accuracy.C.Reject H0. At the = .01 level of significance, there is enough evidence to support the claim that this technician’s variance is larger than the target accuracy.D.Cannot determineReset SelectionQuestion 10 of 231.0 PointsThe hypothesis that an analyst is trying to prove is called the:A.elective hypothesisB.quality of the researcherC.alternative hypothesisD.level of significanceReset SelectionPart 5 of 16 -Question 11 of 231.0 PointsFind the 95% confidence interval for the standard deviation of the lengths of pipes if a sample of 26 pipes has a standard deviation of 10 inches.A.14.0 < < 16.0B.7.8 < < 13.8C.74.0 < < 126.0D.60.8 < < 190.5Reset SelectionQuestion 12 of 231.0 PointsCompute where t20 has a t-distribution with 20 degrees of freedom.A.0.8233B.0.5334C.0.1767D.0.6466Reset SelectionPart 6 of 16 -Question 13 of 231.0 PointsOne reason for standardizing random variables is to measure variables with:A.dissimilar means and similar standard deviations in like termsB.similar means and standard deviations on two scalesC.different means and standard deviations on a single scaleD.different means and standard deviations on a non-standard scaleReset SelectionPart 7 of 16 -Question 14 of 231.0 PointsWhich term is NOT synonymous with the expected value of a discrete probability distribution?A.theoretical averageB.meanC.varianceD.?Reset SelectionPart 8 of 16 -Question 15 of 231.0 PointsIf two events are independent, what is the probability that they both occur?A.0.0B.0.5C.1.00D.Cannot be determined from the information givenReset SelectionPart 9 of 16 -Question 16 of 233.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company executives want to know whether the demands for these two types of computers are dependent on one another. Each day's demand for each type of computers is categorized as Low, Medium-Low, Medium-High, or High. The data shown in the table below is based on 200 days of operation. Based on these data, can Staples conclude that demands for these two types of computers are independent? Test at the 5% level of significance.desktopslowmed-lowmed-highhighlow31414435laptopsmed-low618172263med-high1316111656high8141594630625751200What is the test value for this hypothesis test?Answer: Round your answer to two decimal places.What is the critical value for this hypothesis test? Answer: Round your answer to two decimal places.What is the conclusion for this hypothesis test? Choose one.1. At the .05 level of significance, Staples can conclude that demands for these two types of computers are independent.2. At the .05 level of significance, Staples can conclude that demands for these two types of computers are dependent.Answer: Enter only a 1 or 2 for your answer.Part 10 of 16 -Question 17 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straight line to all 18 data points. What values for the intercept (a) and slope (b) do you obtain?Place your answers, rounded to 3 decimal places, in the blanks provided. Do not use any stray punctuation marks. For example, 34.567 would be a legitimate entry. intercept (a) = slope(b) = Part 11 of 16 -Question 18 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at the annual company percentage increase in revenue versus the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data: percent change for corporation151231228682percent change for CEO617-41232-172Do these data indicate that the population mean percentage increase in corporate revenue is greater than the population mean percentage increase in CEO salary? Use a 5% level of significance. What is the p-value associated with this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.134 would be a legitimate entry. Part 12 of 16 -Question 19 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random. Find the mean of the sampling distribution of the means of average weekly earnings for samples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 123 would be a legitimate entry. Part 13 of 16 -Question 20 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A sample of 9 production managers with over 15 years of experience has an average salary of $71,000 and a sample standard deviation of $18,000. Assuming that the salaries of production managers with over 15 years experience are normally distributed, you can be 95% confident that the mean salary for all production managers with at least 15 years of experience is between what two numbers. Place your LOWER limit, rounded to a whole number, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 54321 would be a legitimate entry. . Place your UPPER limit, rounded to a whole number, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 65432 would be a legitimate entry. Part 14 of 16 -Question 21 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Find the mean of the distribution shown below.X012P(X)0.240.310.45Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.Mean = Part 15 of 16 -Question 22 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below. Test of H0: 1500 versus H1: > 1500 Sample mean 1509.5 Std error of mean 4.854Assuming the life length of this type of lightbulb is normally distributed, if you wish to conduct this test using a .05 level of significance, what is the critical value that you should use? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry. Part 16 of 16 -Question 23 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result for the first step was "A", then there would be 4 possible results for the second step. If the result for the first step was "B", then there would be 16 possible results for the second step. How many possible outcomes are there for this experiment? Place your answer in the blank. Do not use any decimal point or comma. For example, 45 would be a legitimate entry. Set 2Part 1 of 16 -Question 1 of 231.0 PointsThe data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01 level of significance, is the proportion of seeds that germinate dependent on the seed type?     Seed Type Observed Frequencies GerminatedFailed to Germinate131725733387604524451019 A.Yes, because the test value 16.86 is greater than the critical value of 13.28 B.Yes, because the test value 16.86 is less than the critical value of 14.86 C.No, because the test value 16.86 is greater than the critical value of 13.28 D.No, because the test value 13.28 is less than the critical value of 16.86Reset SelectionQuestion 2 of 231.0 PointsA cCompany operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.  MachineShiftABCD14120121623111914315171610 A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592. B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592. C.The number of breakdowns is dependent on the shift, because the p-value is .07. D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.Reset SelectionPart 2 of 16 -Question 3 of 231.0 PointsA single variable X can explain a large percentage of the variation in some other variable Y when the two variables are: A.directly related B.inversely related C.highly correlated D.mutually exclusiveReset SelectionQuestion 4 of 231.0 PointsOutliers are observations that A.lie outside the typical pattern of points B.disrupt the entire linear trend C.lie outside the sample D.render the study uselessReset SelectionQuestion 5 of 231.0 PointsThe marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store123456Shelf Space555101010Weekly Sales1.62.21.41.92.42.6 Store789101112Shelf Space151515202020Weekly Sales2.32.72.82.62.93.1Is the correlation between weekly sales and shelf space significant at the .01 level of significance? A.Yes, the computed t-test statistic is less than the critical value. B.Yes, the p-value of the test for significance is less than .01. C.No, the sample correlation coefficient does not exceed the critical value. D.Yes, the value of the test statistic does not exceed the critical value.Reset SelectionPart 3 of 16 -Question 6 of 231.0 PointsSerum ferritin is used in diagnosing iron deficiency. In a study conducted recently researchers discovered that in a sample of 28 elderly men the sample standard deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard deviation was 84.2 mg/L. At the .01 level of significance, do these data support the conclusion that the ferritin distribution in elderly men has a smaller variance than in younger men? A.Yes, because the test value 2.56 is greater than the critical value 0.394 B.Yes, because the test value 0.390 is less than the critical value 2.54 C.No, because the test value 1.60 is less than the critical value of 2.54 D.Yes, because the test value 2.56 is greater than the critical value of 2.54Reset SelectionQuestion 7 of 231.0 PointsQ-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money spent by its female charge customers differs, on average, from the amount spent by its male charge customers. To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the sample standard deviation of the amount charged by the 22 men was $59.695. Using the procedure advocated by Bluman,  at the 10% level of significance, is there sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women charge customers differs from the amount spent by men charge customers. A.No, the test value does not exceed the critical value. B.Yes, the test value does not exceed the critical value C.No, the p-value of this test is less than 0.10. D.Yes, the p-value of this test is greater than 0.10Reset SelectionPart 4 of 16 -Question 8 of 231.0 PointsIn an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.State the null and alternative hypotheses. A.H0:   75, H1:  > 75 B.H0:  = 75, H1:  > 75 C.H0:   75, H1:  < 75 D.H0:  = 75, H1:  ≠ 75Reset SelectionQuestion 9 of 231.0 Points A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?At the  = .01 level of significance, what is your conclusion? A.Do not reject H0. At the  = .01 level of significance there is not sufficient evidence to suggest that this technician’s true variance is greater than the target accuracy.  B.        Reject H0.  At the  = .01 level of significance, there is not enough evidence to support the claim that this technician’s true variance is larger than the target accuracy. C.Reject H0. At the  = .01 level of significance, there is enough evidence to support the claim that this technician’s variance is larger than the target accuracy. D.Cannot determineReset SelectionQuestion 10 of 231.0 PointsThe hypothesis that an analyst is trying to prove is called the: A.elective hypothesis B.quality of the researcher C.alternative hypothesis D.level of significanceReset SelectionPart 5 of 16 -Question 11 of 231.0 PointsFind the 95% confidence interval for the standard deviation of the lengths of pipes if a sample of 26 pipes has a standard deviation of 10 inches. A.14.0 < < 16.0 B.7.8 < < 13.8 C.74.0 < < 126.0 D.60.8 < < 190.5Reset SelectionQuestion 12 of 231.0 PointsCompute    where t20 has a t-distribution with 20 degrees of freedom. A.0.8233 B.0.5334 C.0.1767 D.0.6466Reset SelectionPart 6 of 16 -Question 13 of 231.0 PointsOne reason for standardizing random variables is to measure variables with: A.dissimilar means and similar standard deviations in like terms B.similar means and standard deviations on two scales C.different means and standard deviations on a single scale D.different means and standard deviations on a non-standard scaleReset SelectionPart 7 of 16 -Question 14 of 231.0 PointsWhich term is NOT synonymous with the expected value of a discrete probability distribution? A.theoretical average B.mean C.variance D.μReset SelectionPart 8 of 16 -Question 15 of 231.0 PointsIf two events are independent, what is the probability that they both occur? A.0.0 B.0.5 C.1.00 D.Cannot be determined from the information givenReset SelectionPart 9 of 16 -Question 16 of 233.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company executives want to know whether the demands for these two types of computers are dependent on one another. Each day's demand for each type of computers is categorized as Low, Medium-Low, Medium-High, or High. The data shown in the table below is based on 200 days of operation. Based on these data, can Staples conclude that demands for these two types of computers are independent? Test at the 5% level of significance.   desktops     lowmed-lowmed-highhigh  low31414435laptopsmed-low618172263 med-high1316111656 high81415946  30625751200What is the test value for this hypothesis test?Answer:     Round your answer to two decimal places.What is the critical value for this hypothesis test?  Answer:     Round your answer to two decimal places.What is the conclusion for this hypothesis test?  Choose one.1.  At the .05 level of significance, Staples can conclude that demands for these two types of computers are independent.2. At the .05 level of significance, Staples can conclude that demands for these two types of computers are dependent.Answer:     Enter only a 1 or 2 for your answer.Part 10 of 16 -Question 17 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsx Treating ILE as the response variable, use regression to fit a straight line to all 18 data points. What values for the intercept (a)  and slope (b) do you obtain?Place your answers, rounded to 3 decimal places, in the blanks provided.  Do not use any stray punctuation marks.  For example, 34.567 would be a legitimate entry. intercept (a) =  slope(b) =  Part 11 of 16 -Question 18 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at the annual company percentage increase in revenue versus the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data: percent change for corporation151231228682percent change for CEO617-41232-172Do these data indicate that the population mean percentage increase in corporate revenue is greater than the population mean percentage increase in CEO salary? Use a 5% level of significance. What is the p-value associated with this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.134 would be a legitimate entry.  Part 12 of 16 -Question 19 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random. Find the mean of the sampling distribution of the means of average weekly earnings for samples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 123 would be a legitimate entry.  Part 13 of 16 -Question 20 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A sample of 9 production managers with over 15 years of experience has an average salary of $71,000 and a sample standard deviation of $18,000. Assuming that the salaries of production managers with over 15 years experience are normally distributed, you can be 95% confident that the mean salary for all production managers with at least 15 years of experience is between what two numbers. Place your LOWER limit, rounded to a whole number, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 54321 would be a legitimate entry.  . Place your UPPER limit, rounded to a whole number, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 65432 would be a legitimate entry. Place your LOWER limit, rounded to a whole number, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 54321 would be a legitimate entry. . Place your UPPER limit, rounded to a whole number, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 65432 would be a legitimate entry. Part 14 of 16 -Question 21 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Find the mean of the distribution shown below.X012P(X)0.240.310.45Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.Mean =      Part 15 of 16 -Question 22 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below. Test of H0:  1500 versus H1: > 1500 Sample mean 1509.5 Std error of mean 4.854Assuming the life length of this type of lightbulb is normally distributed, if you wish to conduct this test using a .05 level of significance, what is the critical value that you should use? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry.  Part 16 of 16 -Question 23 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result for the first step was "A", then there would be 4 possible results for the second step. If the result for the first step was "B", then there would be 16 possible results for the second step. How many possible outcomes are there for this experiment? Place your answer in the blank. Do not use any decimal point or comma. For example, 45 would be a legitimate entry.  Set 3Question 1 of 23 1.0 PointsThe data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01 level of significance, is the proportion of seeds that germinate dependent on the seed type?Seed Type Observed FrequenciesGerminated Failed to Germinate1 31 72 57 333 87 604 52 445 10 19A.Yes, because the test value 16.86 is greater than the critical value of 13.28B.Yes, because the test value 16.86 is less than the critical value of 14.86C.No, because the test value 16.86 is greater than the critical value of 13.28D.No, because the test value 13.28 is less than the critical value of 16.86Question 2 of 23 1.0 PointsA company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.MachineShift A B C D1 41 20 12 162 31 11 9 143 15 17 16 10A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592. B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592. C.The number of breakdowns is dependent on the shift, because the p-value is .07. D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.Part 2 of 16 -Question 3 of 23 1.0 PointsOutliers are observations thatA.disrupt the entire linear trendB.render the study uselessC.lie outside the sampleD.lie outside the typical pattern of pointsQuestion 4 of 23 1.0 PointsIf an estimated regression line has a Y-intercept of –7.5 and a slope of 2.5, then when X = 3, the actual value of Y is:A.10B.0C.unknown D.5Question 5 of 23 1.0 PointsData for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Using that data, find the estimated regression equation which can be used to estimate the monthly rent for apartments in this neighborhood using size as the predictor variable.A. 177.12 + 0.8500(size)B. 1.065 + 177.12(size)C. 177.12 + 1.065(size)D. 197.12 + 2.065(size)Part 3 of 16 -Question 6 of 23 1.0 PointsTwo teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.Is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies?A.No, since the p-value is less than 0.10B.No, since the test value exceeds the critical valueC.No, since the test value does not exceed the critical value D.Yes, since the p-value is greater than 0.10Question 7 of 23 1.0 PointsMultiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response.Patient 1 2 3 4 5 6 7Before 158 189 202 353 416 426 441After 284 214 101 227 290 176 290Suppose you wanted to conduct a test of hypothesis to determine if there is sufficient evidence to conclude that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? What is the p-value associated with the test of hypothesis you would conduct?A.p = .057493B.p = .942597C.p = .885014D.p = .114986Part 4 of 16 -Question 8 of 23 1.0 PointsA two-tailed test is one where:A.negative sample means lead to rejection of the null hypothesisB.results in only one direction can lead to rejection of the null hypothesisC.no results lead to the rejection of the null hypothesisD.results in either of two directions can lead to rejection of the null hypothesisQuestion 9 of 23 1.0 PointsYou conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample size larger than 25?A.The p – value stays the sameB.The p – value may increase or decreaseC.The p – value decreasesD.The p – value increasesQuestion 10 of 23 1.0 PointsA type II error occurs when:A.the null hypothesis is incorrectly accepted when it is falseB.the sample mean differs from the population meanC.the null hypothesis is incorrectly rejected when it is trueD.the test is biasedPart 5 of 16 -Question 11 of 23 1.0 PointsIn constructing a confidence interval estimate for a population mean, when we replace with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution we use is:A.F- distributionB.the normal distributionC.chi-square distributionD.t -distributionQuestion 12 of 23 1.0 PointsIf you are constructing a confidence interval for a single mean, the confidence interval will___________ with an increase in the sample size.A.increaseB.decreaseC.stay the sameD.increase or decrease, depending on the sample dataPart 6 of 16 -Question 13 of 23 1.0 PointsThe standard normal distribution has a mean of ___ and standard deviation of ___, respectively.A.1 and 1 B.0 and 0C.0 and 1D.1 and 0Part 7 of 16 -Question 14 of 23 1.0 PointsOne of the requirements for a binomial experiment is that there must be a(n) _____ number of trials.A.infiniteB.fixedC.oddD.randomPart 8 of 16 -Question 15 of 23 1.0 PointsIf 25 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets.A.1/600B.1/700C.1/2300D.1/300Part 9 of 16 -Question 16 of 23 3.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.Sport Preferences of Men and WomenBasketball Football Soccer Men 20 25 30 75Women 18 12 15 4538 37 45 120What is the test value for this hypothesis test?Answer: Round your answer to two decimal places.What is the critical value for this hypothesis test? Answer: Round your answer to two decimal places.What is the conclusion for this hypothesis test? Choose one.1. There is sufficient evidence to support the claim that one's sport preference is dependent on one's gender.2. There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.Answer: Enter only a 1 or 2 for your answer.Part 10 of 16 -Question 17 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straight line to all 18 data points. What values for the intercept (a) and slope (b) do you obtain?Place your answers, rounded to 3 decimal places, in the blanks provided. Do not use any stray punctuation marks. For example, 34.567 would be a legitimate entry.intercept (a) = slope(b) = Part 11 of 16 -Question 18 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.If you are interested in determining if there is sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies, what is the test value you would use to conduct such a test of hypothesis?Place your answer, rounded to 2 decimal places, in the blank. For example, 2.34 would be a legitimate entry. Part 12 of 16 -Question 19 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds?Place your answer, rounded to four decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry.Part 13 of 16 -Question 20 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.Construct a 99% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.Place your LOWER limit, in dollars rounded to 1 decimal place, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 98.4 would be a legitimate entry. Place your UPPER limit, in dollars rounded to 1 decimal place, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 567.8 would be a legitimate entry. Part 14 of 16 -Question 21 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random, and X is the number of voters that support this referendum, find the mean and variance of X. Place the mean in the first blank and place the variance in the second blank. Part 15 of 16 -Question 22 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 260 customers, 20 customers stated their preference for mint chocolate chip.Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.P-value: Round your answer to four decimal places as necessary.Part 16 of 16 -Question 23 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.If a set of six books is to be placed on a shelf, in how many ways can the six books be arranged? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry. Set 4Question 1 of 23 1.0 PointsThe data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01 level of significance, is the proportion of seeds that germinate dependent on the seed type?Seed Type Observed FrequenciesGerminated Failed to Germinate1 31 72 57 333 87 604 52 445 10 19A.Yes, because the test value 16.86 is greater than the critical value of 13.28B.Yes, because the test value 16.86 is less than the critical value of 14.86C.No, because the test value 16.86 is greater than the critical value of 13.28D.No, because the test value 13.28 is less than the critical value of 16.86Question 2 of 23 1.0 PointsA company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.MachineShift A B C D1 41 20 12 162 31 11 9 143 15 17 16 10A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592. B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592. C.The number of breakdowns is dependent on the shift, because the p-value is .07. D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.Part 2 of 16 -Question 3 of 23 1.0 PointsOutliers are observations thatA.disrupt the entire linear trendB.render the study uselessC.lie outside the sampleD.lie outside the typical pattern of pointsQuestion 4 of 23 1.0 PointsIf an estimated regression line has a Y-intercept of –7.5 and a slope of 2.5, then when X = 3, the actual value of Y is:A.10B.0C.unknown D.5Question 5 of 23 1.0 PointsData for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Using that data, find the estimated regression equation which can be used to estimate the monthly rent for apartments in this neighborhood using size as the predictor variable.A. 177.12 + 0.8500(size)B. 1.065 + 177.12(size)C. 177.12 + 1.065(size)D. 197.12 + 2.065(size)Part 3 of 16 -Question 6 of 23 1.0 PointsTwo teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.Is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies?A.No, since the p-value is less than 0.10B.No, since the test value exceeds the critical valueC.No, since the test value does not exceed the critical value D.Yes, since the p-value is greater than 0.10Question 7 of 23 1.0 PointsMultiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response.Patient 1 2 3 4 5 6 7Before 158 189 202 353 416 426 441After 284 214 101 227 290 176 290Suppose you wanted to conduct a test of hypothesis to determine if there is sufficient evidence to conclude that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? What is the p-value associated with the test of hypothesis you would conduct?A.p = .057493B.p = .942597C.p = .885014D.p = .114986Part 4 of 16 -Question 8 of 23 1.0 PointsA two-tailed test is one where:A.negative sample means lead to rejection of the null hypothesisB.results in only one direction can lead to rejection of the null hypothesisC.no results lead to the rejection of the null hypothesisD.results in either of two directions can lead to rejection of the null hypothesisQuestion 9 of 23 1.0 PointsYou conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample size larger than 25?A.The p – value stays the sameB.The p – value may increase or decreaseC.The p – value decreasesD.The p – value increasesQuestion 10 of 23 1.0 PointsA type II error occurs when:A.the null hypothesis is incorrectly accepted when it is falseB.the sample mean differs from the population meanC.the null hypothesis is incorrectly rejected when it is trueD.the test is biasedPart 5 of 16 -Question 11 of 23 1.0 PointsIn constructing a confidence interval estimate for a population mean, when we replace with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution we use is:A.F- distributionB.the normal distributionC.chi-square distributionD.t -distributionQuestion 12 of 23 1.0 PointsIf you are constructing a confidence interval for a single mean, the confidence interval will___________ with an increase in the sample size.A.increaseB.decreaseC.stay the sameD.increase or decrease, depending on the sample dataPart 6 of 16 -Question 13 of 23 1.0 PointsThe standard normal distribution has a mean of ___ and standard deviation of ___, respectively.A.1 and 1 B.0 and 0C.0 and 1D.1 and 0Part 7 of 16 -Question 14 of 23 1.0 PointsOne of the requirements for a binomial experiment is that there must be a(n) _____ number of trials.A.infiniteB.fixedC.oddD.randomPart 8 of 16 -Question 15 of 23 1.0 PointsIf 25 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets.A.1/600B.1/700C.1/2300D.1/300Part 9 of 16 -Question 16 of 23 3.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.Sport Preferences of Men and WomenBasketball Football Soccer Men 20 25 30 75Women 18 12 15 4538 37 45 120What is the test value for this hypothesis test?Answer: Round your answer to two decimal places.What is the critical value for this hypothesis test?Answer: Round your answer to two decimal places.What is the conclusion for this hypothesis test? Choose one.1. There is sufficient evidence to support the claim that one's sport preference is dependent on one's gender.2. There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.Answer: Enter only a 1 or 2 for your answer.Part 10 of 16 -Question 17 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straight line to all 18 data points. What values for the intercept (a) and slope (b) do you obtain?Place your answers, rounded to 3 decimal places, in the blanks provided. Do not use any stray punctuation marks. For example, 34.567 would be a legitimate entry.intercept (a) = slope(b) =Part 11 of 16 -Question 18 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.If you are interested in determining if there is sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies, what is the test value you would use to conduct such a test of hypothesis?Place your answer, rounded to 2 decimal places, in the blank. For example, 2.34 would be a legitimate entry.Part 12 of 16 -Question 19 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds?Place your answer, rounded to four decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry.Part 13 of 16 -Question 20 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.Construct a 99% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.Place your LOWER limit, in dollars rounded to 1 decimal place, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 98.4 would be a legitimate entry.Place your UPPER limit, in dollars rounded to 1 decimal place, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 567.8 would be a legitimate entry.Part 14 of 16 -Question 21 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random, and X is the number of voters that support this referendum, find the mean and variance of X. Place the mean in the first blank and place the variance in the second blank.Part 15 of 16 -Question 22 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 260 customers, 20 customers stated their preference for mint chocolate chip.Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.P-value: Round your answer to four decimal places as necessary.Part 16 of 16 -Question 23 of 23 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.If a set of six books is to be placed on a shelf, in how many ways can the six books be arranged? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry.Set 5Statistics and Probability 23 MCQ exam paperPart 1 of 16 -Question 1 of 231.0 PointsA company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.MachineShiftABCD14120121623111914315171610A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592.B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592.C.The number of breakdowns is dependent on the shift, because the p-value is .07.D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.Reset SelectionQuestion 2 of 231.0 PointsThe chi-square goodness-of-fit test can be used to test for:A.significance of sample statisticsB.difference between population meansC.difference between population variancesD.normalityReset SelectionPart 2 of 16 -Question 3 of 231.0 PointsA correlation value of zero indicates.A.a strong linear relationshipB.a weak linear relationshipC.a perfect linear relationshipD.no linear relationshipReset SelectionQuestion 4 of 231.0 PointsA single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:A.directly relatedB.inversely relatedC.highly correlatedD.mutually exclusiveReset SelectionQuestion 5 of 231.0 PointsData for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Using that data, find the estimated regression equation which can be used to estimate the monthly rent for apartments in this neighborhood using size as the predictor variable.Apartments.xlsxA.f$hat{y}= f$ 197.12 + 2.065(size)B.f$hat{y}= f$ 177.12 + 0.8500(size)C.f$hat{y}= f$ 1.065 + 177.12(size)D. f$hat{y}= f$ 177.12 + 1.065(size)Reset SelectionPart 3 of 16 -Question 6 of 231.0 PointsSerum ferritin is used in diagnosing iron deficiency. In a study conducted recently researchers discovered that in a sample of 28 elderly men the sample standard deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard deviation was 84.2 mg/L. At the .01 level of significance, do these data support the conclusion that the ferritin distribution in elderly men has a smaller variance than in younger men?A.Yes, because the test value 2.56 is greater than the critical value 0.394B.Yes, because the test value 2.56 is greater than the critical value of 2.54C.No, because the test value 1.60 is less than the critical value of 2.54D.Yes, because the test value 0.390 is less than the critical value 2.54Reset SelectionQuestion 7 of 231.0 PointsTwo teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.Is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies?A.No, since the test value exceeds the critical valueB.No, since the test value does not exceed the critical valueC.No, since the p-value is less than 0.10D.Yes, since the p-value is greater than 0.10Reset SelectionPart 4 of 16 -Question 8 of 231.0 PointsIf a teacher is trying to prove that a new method of teaching economics is more effective than a traditional one, he/she will conduct a:A.point estimate of the population parameterB.one-tailed testC.confidence intervalD.two-tailed testReset SelectionQuestion 9 of 231.0 PointsA null hypothesis can only be rejected at the 5% significance level if and only if:A.the null hypotheses includes sampling errorB.a 95% confidence interval does not include the hypothesized value of the parameterC.the null hypothesis is biasedD.a 95% confidence interval includes the hypothesized value of the parameterReset SelectionQuestion 10 of 231.0 PointsYou conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample size larger than 25?A.The p – value stays the sameB.The p – value increasesC.The p – value decreasesD.The p – value may increase or decreaseReset SelectionPart 5 of 16 -Question 11 of 231.0 PointsIn a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds. How many elephants does the researcher need to weigh so that he can be 80% confident that the average weight of elephants in his sample is within 350 pounds of the true average weight for this subspecies?A.50B.31C.39D.166Reset SelectionQuestion 12 of 231.0 PointsCompute f$P(t_{20}leq -0.95)f$ where t20 has a t-distribution with 20 degrees of freedom.A.0.1767B.0.8233C.0.6466D.0.5334Reset SelectionPart 6 of 16 -Question 13 of 231.0 PointsThe normal distribution is:A.a binomial distribution with only one parameterB.a discrete distributionC.a density function of a discrete random variableD.the single most important distribution in statisticsReset SelectionPart 7 of 16 -Question 14 of 231.0 PointsIn a small town, 60% of the households have dogs. If 5 households are randomly selected, what is the probability that at least 4 of them have dogs?A.0.259B.0.337C.3D.0.8Reset SelectionPart 8 of 16 -Question 15 of 231.0 PointsIf P(A) = P(A|B), then events A and B are said to beA.exhaustiveB.mutually exclusiveC.complementaryD.independentReset SelectionPart 9 of 16 -Question 16 of 233.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.Sport Preferences of Men and Women Basketball Football SoccerMen 20 25 30 75Women 18 12 15 4538 37 45 120What is the test value for this hypothesis test?Answer: Round your answer to two decimal places.What is the critical value for this hypothesis test?Answer: Round your answer to two decimal places.What is the conclusion for this hypothesis test? Choose one.1. There is sufficient evidence to support the claim that one's sport preference is dependent on one's gender.2. There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.Answer: Enter only a 1 or 2 for your answer.Part 10 of 16 -Question 17 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straight line to all 18 data points.Based on your results, If direct labor hours (DLH) increases by one hour, the indirect labor expense (ILE), on average, increases by approximately how much?Place your answer, rounded to 2 decimal places, in the blank. Do not use any stray punctuation marks or a dollar sign. For example, 34.56 would be a legitimate entry.Part 11 of 16 -Question 18 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at the annual company percentage increase in revenue versus the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data:percent change for corporation 15 12 3 12 28 6 8 2percent change for CEO 6 17 -4 12 32 -1 7 2Do these data indicate that the population mean percentage increase in corporate revenue is greater than the population mean percentage increase in CEO salary? Use a 5% level of significance. What is the p-value associated with this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.134 would be a legitimate entry.Part 12 of 16 -Question 19 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.Only 5% of the students taking the test scored higher than what value? Place your answer, rounded to a whole number, in the blank. For example, 78 would be a legitimate entry.Part 13 of 16 -Question 20 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.Construct a 95% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.Place your LOWER limit, in dollars rounded to 1 decimal place, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 123.4 would be a legitimate entry.Place your UPPER limit, in dollars rounded to 1 decimal place, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 567.8 would be a legitimate entry.Part 14 of 16 -Question 21 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.Number of Products PurchasedBrands PurchasedFewerSameMoreTotalSame10142448Changed262828352Total2729632400What is the probability that a consumer selected at random purchased the same number or more products than before? Place your answer, rounded to 4 decimal places, in the blank.Part 15 of 16 -Question 22 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below.Test of H0: f$mu leq f$ 1500 versus H1:f$mu f$ > 1500Sample mean 1509.5Std error of mean 4.854What is the test value that you would use to conduct this test? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry.Part 16 of 16 -Question 23 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.If a coin is tossed seven times, how many different outcomes are possible? Place your answer in the blank. Do not use any decimal places or commas. For example, 345 would be a legitimate entry.Final Exam_MATH302Table of ContentsTime Remaining: 2:41:53Part 1 of 16 -Question 1 of 231.0 PointsA company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.MachineShiftABCD14120121623111914315171610A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592.B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592.C.The number of breakdowns is dependent on the shift, because the p-value is .07.D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.Reset SelectionQuestion 2 of 231.0 PointsThe chi-square goodness-of-fit test can be used to test for:A.significance of sample statisticsB.difference between population meansC.difference between population variancesD.normalityReset SelectionPart 2 of 16 -Question 3 of 231.0 PointsA correlation value of zero indicates.A.a strong linear relationshipB.a weak linear relationshipC.a perfect linear relationshipD.no linear relationshipReset SelectionQuestion 4 of 231.0 PointsA single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:A.directly relatedB.inversely relatedC.highly correlatedD.mutually exclusiveReset SelectionQuestion 5 of 231.0 PointsData for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Using that data, find the estimated regression equation which can be used to estimate the monthly rent for apartments in this neighborhood using size as the predictor variable.Apartments.xlsxA.f$hat{y}= f$ 197.12 + 2.065(size)B.f$hat{y}= f$ 177.12 + 0.8500(size)C.f$hat{y}= f$ 1.065 + 177.12(size)D. f$hat{y}= f$ 177.12 + 1.065(size)Reset SelectionPart 3 of 16 -Question 6 of 231.0 PointsSerum ferritin is used in diagnosing iron deficiency. In a study conducted recently researchers discovered that in a sample of 28 elderly men the sample standard deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard deviation was 84.2 mg/L. At the .01 level of significance, do these data support the conclusion that the ferritin distribution in elderly men has a smaller variance than in younger men?A.Yes, because the test value 2.56 is greater than the critical value 0.394B.Yes, because the test value 2.56 is greater than the critical value of 2.54C.No, because the test value 1.60 is less than the critical value of 2.54D.Yes, because the test value 0.390 is less than the critical value 2.54Reset SelectionQuestion 7 of 231.0 PointsTwo teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.Is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies?A.No, since the test value exceeds the critical valueB.No, since the test value does not exceed the critical valueC.No, since the p-value is less than 0.10D.Yes, since the p-value is greater than 0.10Reset SelectionPart 4 of 16 -Question 8 of 231.0 PointsIf a teacher is trying to prove that a new method of teaching economics is more effective than a traditional one, he/she will conduct a:A.point estimate of the population parameterB.one-tailed testC.confidence intervalD.two-tailed testReset SelectionQuestion 9 of 231.0 PointsA null hypothesis can only be rejected at the 5% significance level if and only if:A.the null hypotheses includes sampling errorB.a 95% confidence interval does not include the hypothesized value of the parameterC.the null hypothesis is biasedD.a 95% confidence interval includes the hypothesized value of the parameterReset SelectionQuestion 10 of 231.0 PointsYou conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample size larger than 25?A.The p – value stays the sameB.The p – value increasesC.The p – value decreasesD.The p – value may increase or decreaseReset SelectionPart 5 of 16 -Question 11 of 231.0 PointsIn a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds. How many elephants does the researcher need to weigh so that he can be 80% confident that the average weight of elephants in his sample is within 350 pounds of the true average weight for this subspecies?A.50B.31C.39D.166Reset SelectionQuestion 12 of 231.0 PointsCompute f$P(t_{20}leq -0.95)f$ where t20 has a t-distribution with 20 degrees of freedom.A.0.1767B.0.8233C.0.6466D.0.5334Reset SelectionPart 6 of 16 -Question 13 of 231.0 PointsThe normal distribution is:A.a binomial distribution with only one parameterB.a discrete distributionC.a density function of a discrete random variableD.the single most important distribution in statisticsReset SelectionPart 7 of 16 -Question 14 of 231.0 PointsIn a small town, 60% of the households have dogs. If 5 households are randomly selected, what is the probability that at least 4 of them have dogs?A.0.259B.0.337C.3D.0.8Reset SelectionPart 8 of 16 -Question 15 of 231.0 PointsIf P(A) = P(A|B), then events A and B are said to beA.exhaustiveB.mutually exclusiveC.complementaryD.independentReset SelectionPart 9 of 16 -Question 16 of 233.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.Sport Preferences of Men and Women Basketball Football SoccerMen 20 25 30 75Women 18 12 15 4538 37 45 120What is the test value for this hypothesis test?Answer: Round your answer to two decimal places.What is the critical value for this hypothesis test?Answer: Round your answer to two decimal places.What is the conclusion for this hypothesis test? Choose one.1. There is sufficient evidence to support the claim that one's sport preference is dependent on one's gender.2. There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.Answer: Enter only a 1 or 2 for your answer.Part 10 of 16 -Question 17 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straight line to all 18 data points.Based on your results, If direct labor hours (DLH) increases by one hour, the indirect labor expense (ILE), on average, increases by approximately how much?Place your answer, rounded to 2 decimal places, in the blank. Do not use any stray punctuation marks or a dollar sign. For example, 34.56 would be a legitimate entry.Part 11 of 16 -Question 18 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at the annual company percentage increase in revenue versus the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data:percent change for corporation 15 12 3 12 28 6 8 2percent change for CEO 6 17 -4 12 32 -1 7 2Do these data indicate that the population mean percentage increase in corporate revenue is greater than the population mean percentage increase in CEO salary? Use a 5% level of significance. What is the p-value associated with this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.134 would be a legitimate entry.Part 12 of 16 -Question 19 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.Only 5% of the students taking the test scored higher than what value? Place your answer, rounded to a whole number, in the blank. For example, 78 would be a legitimate entry.Part 13 of 16 -Question 20 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.Construct a 95% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.Place your LOWER limit, in dollars rounded to 1 decimal place, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 123.4 would be a legitimate entry.Place your UPPER limit, in dollars rounded to 1 decimal place, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 567.8 would be a legitimate entry.Part 14 of 16 -Question 21 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.Number of Products PurchasedBrands PurchasedFewerSameMoreTotalSame10142448Changed262828352Total2729632400What is the probability that a consumer selected at random purchased the same number or more products than before? Place your answer, rounded to 4 decimal places, in the blank.Part 15 of 16 -Question 22 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below.Test of H0: f$mu leq f$ 1500 versus H1:f$mu f$ > 1500Sample mean 1509.5Std error of mean 4.854What is the test value that you would use to conduct this test? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry.Part 16 of 16 -Question 23 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.If a coin is tossed seven times, how many different outcomes are possible? Place your answer in the blank. Do not use any decimal places or commas. For example, 345 would be a legitimate entry.Final Exam_MATH302Table of ContentsTime Remaining: 2:41:37Part 1 of 16 -Question 1 of 231.0 PointsA company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.MachineShiftABCD14120121623111914315171610A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592.B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592.C.The number of breakdowns is dependent on the shift, because the p-value is .07.D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.Reset SelectionQuestion 2 of 231.0 PointsThe chi-square goodness-of-fit test can be used to test for:A.significance of sample statisticsB.difference between population meansC.difference between population variancesD.normalityReset SelectionPart 2 of 16 -Question 3 of 231.0 PointsA correlation value of zero indicates.A.a strong linear relationshipB.a weak linear relationshipC.a perfect linear relationshipD.no linear relationshipReset SelectionQuestion 4 of 231.0 PointsA single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:A.directly relatedB.inversely relatedC.highly correlatedD.mutually exclusiveReset SelectionQuestion 5 of 231.0 PointsData for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Using that data, find the estimated regression equation which can be used to estimate the monthly rent for apartments in this neighborhood using size as the predictor variable.Apartments.xlsxA.f$hat{y}= f$ 197.12 + 2.065(size)B.f$hat{y}= f$ 177.12 + 0.8500(size)C.f$hat{y}= f$ 1.065 + 177.12(size)D. f$hat{y}= f$ 177.12 + 1.065(size)Reset SelectionPart 3 of 16 -Question 6 of 231.0 PointsSerum ferritin is used in diagnosing iron deficiency. In a study conducted recently researchers discovered that in a sample of 28 elderly men the sample standard deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard deviation was 84.2 mg/L. At the .01 level of significance, do these data support the conclusion that the ferritin distribution in elderly men has a smaller variance than in younger men?A.Yes, because the test value 2.56 is greater than the critical value 0.394B.Yes, because the test value 2.56 is greater than the critical value of 2.54C.No, because the test value 1.60 is less than the critical value of 2.54D.Yes, because the test value 0.390 is less than the critical value 2.54Reset SelectionQuestion 7 of 231.0 PointsTwo teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.Is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies?A.No, since the test value exceeds the critical valueB.No, since the test value does not exceed the critical valueC.No, since the p-value is less than 0.10D.Yes, since the p-value is greater than 0.10Reset SelectionPart 4 of 16 -Question 8 of 231.0 PointsIf a teacher is trying to prove that a new method of teaching economics is more effective than a traditional one, he/she will conduct a:A.point estimate of the population parameterB.one-tailed testC.confidence intervalD.two-tailed testReset SelectionQuestion 9 of 231.0 PointsA null hypothesis can only be rejected at the 5% significance level if and only if:A.the null hypotheses includes sampling errorB.a 95% confidence interval does not include the hypothesized value of the parameterC.the null hypothesis is biasedD.a 95% confidence interval includes the hypothesized value of the parameterReset SelectionQuestion 10 of 231.0 PointsYou conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample size larger than 25?A.The p – value stays the sameB.The p – value increasesC.The p – value decreasesD.The p – value may increase or decreaseReset SelectionPart 5 of 16 -Question 11 of 231.0 PointsIn a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds. How many elephants does the researcher need to weigh so that he can be 80% confident that the average weight of elephants in his sample is within 350 pounds of the true average weight for this subspecies?A.50B.31C.39D.166Reset SelectionQuestion 12 of 231.0 PointsCompute f$P(t_{20}leq -0.95)f$ where t20 has a t-distribution with 20 degrees of freedom.A.0.1767B.0.8233C.0.6466D.0.5334Reset SelectionPart 6 of 16 -Question 13 of 231.0 PointsThe normal distribution is:A.a binomial distribution with only one parameterB.a discrete distributionC.a density function of a discrete random variableD.the single most important distribution in statisticsReset SelectionPart 7 of 16 -Question 14 of 231.0 PointsIn a small town, 60% of the households have dogs. If 5 households are randomly selected, what is the probability that at least 4 of them have dogs?A.0.259B.0.337C.3D.0.8Reset SelectionPart 8 of 16 -Question 15 of 231.0 PointsIf P(A) = P(A|B), then events A and B are said to beA.exhaustiveB.mutually exclusiveC.complementaryD.independentReset SelectionPart 9 of 16 -Question 16 of 233.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.Sport Preferences of Men and Women Basketball Football SoccerMen 20 25 30 75Women 18 12 15 4538 37 45 120What is the test value for this hypothesis test?Answer: Round your answer to two decimal places.What is the critical value for this hypothesis test?Answer: Round your answer to two decimal places.What is the conclusion for this hypothesis test? Choose one.1. There is sufficient evidence to support the claim that one's sport preference is dependent on one's gender.2. There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.Answer: Enter only a 1 or 2 for your answer.Part 10 of 16 -Question 17 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straight line to all 18 data points.Based on your results, If direct labor hours (DLH) increases by one hour, the indirect labor expense (ILE), on average, increases by approximately how much?Place your answer, rounded to 2 decimal places, in the blank. Do not use any stray punctuation marks or a dollar sign. For example, 34.56 would be a legitimate entry.Part 11 of 16 -Question 18 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at the annual company percentage increase in revenue versus the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data:percent change for corporation 15 12 3 12 28 6 8 2percent change for CEO 6 17 -4 12 32 -1 7 2Do these data indicate that the population mean percentage increase in corporate revenue is greater than the population mean percentage increase in CEO salary? Use a 5% level of significance. What is the p-value associated with this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.134 would be a legitimate entry.Part 12 of 16 -Question 19 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.Only 5% of the students taking the test scored higher than what value? Place your answer, rounded to a whole number, in the blank. For example, 78 would be a legitimate entry.Part 13 of 16 -Question 20 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.Construct a 95% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.Place your LOWER limit, in dollars rounded to 1 decimal place, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 123.4 would be a legitimate entry.Place your UPPER limit, in dollars rounded to 1 decimal place, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 567.8 would be a legitimate entry.Part 14 of 16 -Question 21 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.Number of Products PurchasedBrands PurchasedFewerSameMoreTotalSame10142448Changed262828352Total2729632400What is the probability that a consumer selected at random purchased the same number or more products than before? Place your answer, rounded to 4 decimal places, in the blank.Part 15 of 16 -Question 22 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below.Test of H0: f$mu leq f$ 1500 versus H1:f$mu f$ > 1500Sample mean 1509.5Std error of mean 4.854What is the test value that you would use to conduct this test? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry.Part 16 of 16 -Question 23 of 231.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.If a coin is tossed seven times, how many different outcomes are possible? Place your answer in the blank. Do not use any decimal places or commas. For example, 345 would be a legitimate entry.

APUS Math302 midterm anf final (5 set )

Question # 00043789 Posted By: neil2103 Updated on: 01/24/2015 11:21 PM Due on: 01/30/2015
Subject Mathematics Topic General Mathematics Tutorials:
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APUS Math302 midterm anf final (5 set )

Midterm

Set 1

1.0 Points

Question 1 of 25 1.0/ 1.0 Points

A population includes:

A.all objects of interest in a particular study

B.only households

C.only people

D.only machines

Part 2 of 9 - 1.0/ 2.0 Points

Question 2 of 25 1.0/ 1.0 Points

The probability of an event and the probability of its complement always sum to:

A.any value between 0 and 1

B.1.0

C.0

D.any positive value

Question 3 of 25 0.0/ 1.0 Points

If A and B are mutually exclusive events with P(A) = 0.70, then P(B):

A.can be any value between 0 and 0.70

B.cannot be determined with the information given

C.can be any value between 0 and 1

D.cannot be larger than 0.30

Part 3 of 9 - 3.0/ 3.0 Points

Question 4 of 25 1.0/ 1.0 Points

A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.

A.60

B.50

C.7.1

D.5.9

Question 5 of 25 1.0/ 1.0 Points

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.

A.0.19

B.0.17

C.0.08

D.0.23

Find the variance of the following probability distribution.

X P(X)

1 0.10

2 0.35

3 0.10

4 0.15

5 0.30

A.1.44

B.2.06

C.1.76

D.1.2

Question 7 of 25 1.0/ 1.0 Points

The continuous distribution characterized by a symmetric, bell-shaped curve is the:

A.Poisson distribution

B.binomial distribution

C.exponential distribution

D.normal distribution

Question 8 of 25 1.0/ 1.0 Points

The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.

A. 0.67

B.0.89

C.0.95

D.0.11

Question 9 of 25 1.0/ 1.0 Points

The standard deviation of a probability distribution must be:

A.a negative number

B.a number between 0 and 1

C.a nonnegative number

D.less than the value of the mean

Question 10 of 25 1.0/ 1.0 Points

In a normal distribution, changing the standard deviation:

A.splits the distribution to two curves

B.shifts the curve left or right

C.makes the curve more or less spread out

D.makes the curve more robust

Question 11 of 25 1.0/ 1.0 Points

If the value of the standard normal random variable Z is positive, then the original score is where in relationship to the mean?

A.one standard deviation higher than the mean

B.equal to the mean

C.to the left of the mean

D.to the right of the mean

Question 12 of 25 1.0/ 1.0 Points

The standard normal distribution has a mean of ___ and standard deviation of ___, respectively.

A.1 and 1

B.1 and 0

C.0 and 1

D.0 and 0

Part 5 of 9 - 1.0/ 1.0 Points

Question 13 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the median number of children. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry. 1.5

Part 6 of 9 - 0.0/ 2.0 Points

Question 14 of 25 0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.

Number of Products Purchased

Brands Purchased Fewer Same More Total

Same 10 14 24 48

Changed 262 82 8 352

Total 272 96 32 400

Given that a consumer changed brands, what then is the probability that the consumer purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. 0.1165

Question 15 of 25 0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

x 0 1 2 3 4 5 6

P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03

What is the standard deviation of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry. 2.62

Part 7 of 9 - 1.0/ 2.0 Points

Question 16 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A jar contains four white marbles, five red marbles, and six black marbles. If a marble was selected at random, find the probability that it is white or black. Place your answer, rounded to 2 decimal places in the blank. For example 0.23 would be a legitimate entry. 0.67

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

An urn contains 12 balls identical in every respect except their color. There are 3 red balls, 7 green balls, and 2 blue balls. You draw two balls from the urn, but replace the first ball before drawing the second. Find the probability that the first ball drawn is red and the second ball drawn is green. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.4567 would be a legitimate entry. 0.1591

Part 8 of 9 - 6.0/ 6.0 Points

Question 18 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find the mean of the sampling distribution of the means of average weekly earnings for samples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 123 would be a legitimate entry. 450

Question 19 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.

How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry. 636

Question 20 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.

What score represents the 60th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry. 69

Question 21 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate entry. 0.1587

Question 22 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find the probability that the mean of the sample is between $445 and $455. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate entry. 0.6827

Question 23 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.

What is the probability of getting a score higher than 71 on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry. 0.5987

Part 9 of 9 - 2.0/ 2.0 Points

Question 24 of 25 1.0/ 1.0 Points

A random variable X is standardized when each value of X has the mean of X subtracted from it, and the difference is divided by the standard deviation of X.

True

False

Question 25 of 25 1.0/ 1.0 Points

Using the standard normal curve, the Z- score representing the 5th percentile is 1.645.

True

False

Set 2










SET 3

uestion 1 of 25



The mode is best described as the
A.same as the average
B.middle observation
C.most frequently occurring value
D.50th percentile


Part 2 of 9 -

Question 2 of 25



A jar contains four white marbles, five red marbles, and six black marbles. If a marble is selected at random, find the
probability that it is white or black .
A.2/15
B.2/3
C.1/5
D.2/5


Question 3 of 25



The formal way to revise probabilities based on new information is to use:
A.common sense probabilities
B.unilateral probabilities
C.complementary probabilities
D.conditional probabilities


Part 3 of 9 -

Question 4 of 25



If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of
three, he wins $20. The cost to play the game is $5. What is the expectation of this
game?
A.$3.06
B.-$2.78
C.-$3.06
D.$2.78


Question 5 of 25



Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.
What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours?
A.0.7792
B.0.1186
C.0.0839
D.0.9169


Question 6 of 25



A drug is reported to benefit 40% of the patients who take it. If 6 patients take the drug, what is the probability that 4 or more patients will benefit?
A.0.667
B.0.179
C.0.138
D.0.862


Part 4 of 9 -

Question 7 of 25



Find the probability, P(Z < 0.17), using the standard normal distribution.
A..8300
B..4325
C..5675
D..0675


Question 8 of 25



Given that Z is a standard normal variable, the value z for which P(Z < z) = 0.2580 is
A.-0.65
B.-0.70
C.0.242
D.0.758


Question 9 of 25



The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.
A. 0.67
B.0.89
C.0.95
D.0.11


Question 10 of 25



If Z is a standard normal random variable, the area between z = 0.0 and z =1.30 is 0.4032, while the area between z = 0.0 and z = 1.50 is 0.4332. What is the area between z = -1.30 and z = 1.50?
A.0.8364
B.0.0668
C.0.0968
D.0.0300


Question 11 of 25

Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 < X <
90) is
A.0.5328
B.0.3413
C.0.1498
D.0.1915


Question 12 of 25



In a normal distribution, changing the standard deviation:
A.makes the curve more robust
B.shifts the curve left or right
C.makes the curve more or less spread out
D.splits the distribution to two curves


Part 5 of 9 -

Question 13 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that an analysis of a set of test scores reveals that:.

Compute the interquartile range. Place your answer, rounded to 1 decimal place, in the blank. For example, 32.1 would be a legitimate entry.

Part 6 of 9 -


Question 14 of 25

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data were obtained from a survey of college students. The variable X represents the number
of non-assigned books read during the past six months.
x
P (X=x)

0
0.55

1
0.15

2
0.10

3
0.10

4
0.04

5
0.03

6
0.03

What is the standard deviation of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry.



Question 15 of 25

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A DVD rental business determines that customers will rent X number of DVDs according to the following distribution:
Number of DVDs rented X
Probability P(X)

1

2

3

4

5

0.15 0.25 0.3 0.25 0.05

What is the mean number of DVDs that customers rent? Round your answer to one decimal place as necessary. For
example, 4.5 would be a legitimate entry.
Answer:

Part 7 of 9 -

Question 16 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public
about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all
face with drinking and driving. Five hundred accidents that occurred on a Saturday night were
analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the
accident. The numbers are shown below:
Number of Vehicles Involved
Did alcohol play a role?
Yes
No

1
60
40
100

2
110
215
325

3
30
45
75

200
300

Given that alcohol was not involved, what proportion of the accidents involved a single vehicle? Place your
answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate
answer.

Question 17 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public
about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all
face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed.
Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.
The numbers are shown below:
Number of Vehicles Involved
Did alcohol play a role?
1
2
3
200
Yes
60
110
30
300
No
40
215
45
100
325
75
What proportion of accidents involved alcohol or a single vehicle?
Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.

Part 8 of 9 -

Question 18 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Mrs. Smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award.

Assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award? Place your answer, rounded to the nearest whole number, in the When entering your answer do not use any labels or blank.
symbols. Simply provide the numerical value. For example, 123 would be a legitimate entry.
Question 19 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal
distribution with a mean of $30 and a standard deviation of $9.
What is the probability that a randomly selected customer will spend less than $15 at this store? Place your answer,
rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.

Question 20 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam. What score represents the 70th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry.

Question 21 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
The average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.45. Assume
that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the
probability that the worker earns more than $6.75? Place your answer, rounded to 4 decimal places, in the blank. For
example, 0.1776 would be a legitimate entry.

Question 22 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The length of time to complete a door assembly on an automobile factory assembly line is
normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For a
door selected at random, what is the probability the assembly line time will be between 5
and 10 minutes? Place your answer, rounded to 4 decimal places, in the blank. For
example, 0.1776 would be a legitimate answer.

Question 23 of 25



Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as
thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be
used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the
standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.
Find the probability that the mean of the sample is between $445 and $455. Place your answer, rounded to 4 decimal
places, in the blank. For example, 0.2345 would be a legitimate entry.

Part 9 of 9 -

Question 24 of 25



Using the standard normal curve, the Z- score representing the 10th percentile is 1.28.
True
False


Question 25 of 25
If Z is a standard normal variable, then P(Z > 1.50) = 0.9332
True
False

SET 4

Part 1 of 9 -

Question 1 of 25 1.0 Points

The mode is best described as the

A.same as the average

B.middle observation

C.most frequently occurring value

D.50th percentile

Reset Selection

Part 2 of 9 -

Question 2 of 25 1.0 Points

The table below shows the number of TVs and the number of Blu-Ray players that residents in an apartment building have according to the type of apartment that they live in.

1-bedroom 2-bedroom studio

TV 8 6 4

Blu-Ray3 1 2

What is the probability of randomly selecting an apartment which has 1 bedroom or a Blu-Ray player?

A.0.273

B.0.125

C.0.708

D.0.583

Reset Selection

Question 3 of 25 1.0 Points

A jar contains four white marbles, five red marbles, and six black marbles. If a marble is selected at random, find the probability that it is white or black .

A.2/15

B.2/3

C.1/5

D.2/5

Reset Selection

Part 3 of 9 -

Question 4 of 25 1.0 Points

The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

x 0 1 2 3 4 5

P (X=x)0.20 0.25 0.20 0.15 0.10 0.10

Find P( X 3)

A.0.15

B.0.85

C.0.80

D.0.20

Question 5 of 25 1.0 Points

A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?

A.0.081

B.0.243

C.0.027

D.0.003

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Question 6 of 25 1.0 Points

Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.

What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours?

A.0.9169

B.0.1186

C.0.7792

D.0.0839

Reset Selection

Part 4 of 9 -

Question 7 of 25 1.0 Points

In a normal distribution, changing the standard deviation:

A.makes the curve more or less spread out

B.splits the distribution to two curves

C.makes the curve more robust

D.shifts the curve left or right

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Question 8 of 25 1.0 Points

The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the:

A.simple random sample theorem

B.central limit theorem

C.central tendency theorem

D.point estimate theorem

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Question 9 of 25 1.0 Points

The normal distribution is:

A.a binomial distribution with only one parameter

B.the single most important distribution in statistics

C.a discrete distribution

D.a density function of a discrete random variable

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Question 10 of 25 1.0 Points

The standard deviation of is usually called the

THIS LINE ABOVE IS INCOMPLETE, MY ANS IS BASED ON A GUESS

A.standard error of the sample

B.standard error of the population

C.standard error of the mean

D.randomized standard error

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Question 11 of 25 1.0 Points

The continuous distribution characterized by a symmetric, bell-shaped curve is the:

A.binomial distribution

B.Poisson distribution

C.exponential distribution

D.normal distribution

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Question 12 of 25 1.0 Points

The mean of a probability distribution is a:

A. measure of variability of the distribution

B. measure of central location

C. measure of relative likelihood

D. measure of skewness of the distribution

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Part 5 of 9 -

Question 13 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A sample of 150 students at a State University was taken after the final business statistics exam to ask them whether they went partying the weekend before the final or spent the weekend studying, and whether they did well or poorly on the final. The following table contains the result.

Did Well in Exam Did Poorly in Exam

Studying for Exam 60 15

Went Partying 22 53

Of those in the sample who went partying the weekend before the final exam, what percentage of them did well in the exam? Place your answer in the blank, rounded to 2 decimal places. Do not use a percentage sign (%). For example, 44.44 would be a legitmate answer.

Part 6 of 9 -

Question 14 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

It has been observed that electrical connectors manufactured by Jolt Electrical Supply Company last an average of 18.2 months and follow a normal distribution with a standard deviation of 1.7 months. Jolt agrees to replace any connector that fails within 19 months. Out of 500 connectors sold, how many does Jolt expect to replace, on average? Place your answer, rounded to the nearest whole number, in the blank. For example, 123 would be a legitimate answer. _____

Question 15 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Ann is applying for a bank loan to open a pizza franchise. She must first complete a written application and then, if the written application is approved, be interviewed by bank officers. If an applicant’s written application is not approved the applicant is not granted an interview with the bank officers. Past records for this bank show that the probability of an applicant having his or her written application approved is 0.63. Records also indicate that the interviewing committee of bank officers approves 85% of the individuals they interview. Find the probability that Ann’s loan request is approved. Place your answer, rounded to 2 decimal places, in the blank. For example, 0.76 would be a legitimate entry. ___


Question 16 of 25

____________

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,
as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a
period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales
are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The
percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For
a randomly selected sale, define the following events:
1 = chocolate chosen
2 = strawberry chosen
3= vanilla chosen
= ice cream on a cone
= ice cream in a cup
Find the probability that the ice cream was vanilla flavor, given that it was sold on a cone. Place
your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.
______________

Part 7 of 9 Question 17 of 25

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,
as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a
period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Suppose that a marketing firm sends questionnaires to two different companies. Based on historical
evidence, the marketing research firm believes that each company, independently of the other, will return
the questionnaire with a probability of 0.30. What is the probability that both questionnaires will be
returned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate
entry.

_________________

Part 8 of 9 Question 18 of 25

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,
as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a
period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and
that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such
employees is selected at random.
Find probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimal
places, in the blank. For example, 0.2345 would be a legitimate entry.
_______________
Question 19 of 25

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,
as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a
period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A set of final exam scores in an organic chemistry course was found to be normally distributed, with a
mean of 73 and a standard deviation of 8.

What is the probability of getting a score of 68 or less on this exam? Place your answer, rounded to 4
decimal places in the blank. For example, 0.3456 would be a legitimate entry.
____________
Question 20 of 25

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,
as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a
period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and
that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such
employees is selected at random.
Find the probability that the mean of the sample is greater than $460. Place your answer, rounded to 4
decimal places, in the blank. For example, 0.2345 would be a legitimate answer.
____________
Question 21 of 25

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,
as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a
period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the
demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the
demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.
How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day? Place
you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate
entry.
Question 22 of 25

_________________
1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,
as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a
period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and
that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such
employees is selected at random. ____________

Find the standard deviation of the sampling distribution of the means of average weekly earnings for
samples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 7 would be
a legitimate entry.

___________________

Question 23 of 25

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g.,
as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a
period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is
mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such
cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?
Place your answer, rounded to 4 decimal places, in the blank.

___________

Part 9 of 9 Question 24 of 25

1.0 Points

Using the standard normal curve, the Z- score representing the 99th percentile is 2.326.

True
False
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Question 25 of 25

1.0 Points

Using the standard normal curve, the Z- score representing the 10th percentile is 1.28.

True
False
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SET 5

Part 1 of 9 -



Question 1 of 25 1.0 Points

Which of the following are the three most common measures of central location?
A.Mean, median, and variance
B.Mean, median, and standard deviation
C.Mean, variance, and standard deviation
D.Mean, median, and mode

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Part 2 of 9 -



Question 2 of 25 1.0 Points

The table below shows the preferences for elective courses of students who are undecided about their majors.

Philosophy Digital Art Film Studies
Male 9 16 22
Female 6 18 14

What is the probability of randomly selecting a student who is female or prefers Digital Art?


A.21.2%
B.84.7%
C.46.2%
D.63.5%

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Question 3 of 25 1.0 Points

If two events are mutually exclusive, what is the probability that both occur at the same time?
A.0.00
B.0.50
C.1.00
D.Cannot be determined from the information given.

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Part 3 of 9 -



Question 4 of 25 1.0 Points

A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.
A.60
B.50
C.7.1
D.5.9

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Question 5 of 25 1.0 Points

Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.

What is the probability that greater than 30 batteries will last at least 8 hours?
A.0.0848
B.0.8594
C.0.9522
D.0.9152

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Question 6 of 25 1.0 Points

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.

A.0.19
B.0.17
C.0.08
D.0.23

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Part 4 of 9 -



Question 7 of 25 1.0 Points

If the value of the standard normal random variable Z is positive, then the original score is where in relationship to the mean?
A.equal to the mean
B.to the left of the mean
C.to the right of the mean
D.one standard deviation higher than the mean

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Question 8 of 25 1.0 Points

One reason for standardizing random variables is to measure variables with:
A.dissimilar means and similar standard deviations in like terms
B.different means and standard deviations on a non-standard scale
C.different means and standard deviations on a single scale
D.similar means and standard deviations on two scales

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Question 9 of 25 1.0 Points

In a normal distribution, changing the standard deviation:
A.shifts the curve left or right
B.splits the distribution to two curves
C.makes the curve more or less spread out
D.makes the curve more robust

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Question 10 of 25 1.0 Points

The mean of a probability distribution can be:
A.a positive number
B.a negative number
C.zero
D.all of the above

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Question 11 of 25 1.0 Points

Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 < X < 90) is
A.0.1915
B.0.3413
C.0.5328
D.0.1498

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Question 12 of 25 1.0 Points

The normal distribution is:
A.a binomial distribution with only one parameter
B.a density function of a discrete random variable
C.a discrete distribution
D.the single most important distribution in statistics

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Part 5 of 9 -



Question 13 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The histogram below represents scores achieved by 250 job applicants on a personality profile.

The histogram below represents scores achieved by 250 job applicants on a personality profile.


How many job applicants scored between 10 and 30? Place your answer in the blank. Do not use any stray symbols. For example, 123 would be a legitimate answer.




Part 6 of 9 -



Question 14 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that more than three of them will experience a bad side effect? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate answer.


Question 15 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A school determines that the number of children X in the families who attend the school follows the distribution below:

Number of children X 1 2 3 4 5
Probability P(X) 0.20 0.35 0.25 0.15 0.05

What is the mean number of children per family? Round your answer to one decimal place as necessary. For example, 4.5 would be a legitimate entry.

Answer:



Part 7 of 9 -



Question 16 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.


According to an Internet posting, 80% of adults enjoy drinking beer. If a group of 3 adults is selected at random, find the probability that none of them enjoy drinking beer.

Place your answer, rounded to three decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.123 would be a legitimate entry.


Question 17 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A restaurant menu has a price-fixed complete dinner that consists of an appetizer, entrée, beverage, and dessert. You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible? Place your answer, as a whole number—no decimal places—in the blank. For example 176 would be a legitimate entry



Part 8 of 9 -



Question 18 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.

What score represents the 70th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry.


Question 19 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.

How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry.


Question 20 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9.

What are the two dollar amounts, equidistant from the mean of $30, such that 98% of all customer purchases are between these values? Place your answers in the blanks provided. Do not include a dollar sign. For example, 14.25 would be a legitimate entry.

Lower value
Upper value


Question 21 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9.

What is the probability that a randomly selected customer will spend $20 or more at this store? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.


Question 22 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Mrs. Smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. Assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award? Place your answer, rounded to the nearest whole number, in the blank. When entering your answer do not use any labels or symbols. Simply provide the numerical value. For example, 123 would be a legitimate entry.


Question 23 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.

What score represents the 60th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry.



Part 9 of 9 -



Question 24 of 25 1.0 Points

Using the standard normal curve, the Z- score representing the 10th percentile is 1.28. True
False

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Question 25 of 25 1.0 Points

The left half under the normal curve is slightly smaller than the right half. True
False


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Tutorials for this Question
  1. Tutorial # 00042735 Posted By: neil2103 Posted on: 01/24/2015 11:22 PM
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    The solution of APUS Math302 midterm anf final (5 set )...
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