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Question 1 of 402.5 PointsA class consists of 50 women and 82 men. If a student is randomly selected, what is the probability that the student is a woman?A. 32/132B. 27/66C. 50/132D. 82/132Question 2 of 402.5 PointsA study of students taking Statistics 101 was done. Four hundred students who studied for more than 10 hours averaged a B. Two hundred students who studied for less than 10 hours averaged a C. This difference was significant at the 0.01 level. What does this mean?A. The probability that the difference was due to chance alone is greater than 0.01.B. There is less than a 0.01 chance that the first group’s grades were better by chance alone.C. The improvement was due to the fact that more people studied.D. There is not enough information to make any conclusion.Question 3 of 402.5 PointsOf 1308 people who came into a blood bank to give blood, 314 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure (to 3 decimal places).A. 0.250B. 0.490C. 0.240D. 0.160Question 4 of 402.5 PointsSuppose you buy 1 ticket for $1 out of a lottery of 1000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?A. $0.00B. −$0.40C. −$1.00D. −$0.50Question 5 of 402.5 PointsSuppose you have an extremely unfair coin: the probability of a head is 1/5, and the probability of a tail is 4/5. If you toss the coin 40 times, how many heads do you expect to see?A. 8B. 6C. 5D. 4Question 6 of 402.5 PointsA committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.)A. 0.6B. 0.4C. 0.7D. 0.8Question 7 of 402.5 PointsIf you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability that at least two heads occur consecutively?A. 1/8B. 3/8C. 5/8D. 6/8Question 8 of 402.5 PointsA bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?A. 2/11B. 3/11C. 5/14D. 3/14Question 9 of 402.5 PointsJody checked the temperature 12 times on Monday, and the last digit of the temperature was odd six times more than it was even. On Tuesday, she checked it 18 times and the last digit was odd eight times more than it was even. Determine which series is closer to the 50/50 ratio of odd/even expected of such a series of temperature checks.A. The Monday series is closer because 1/6 is closer to 1/2 than is 1/8.B. The Monday series is closer because 6/12 is closer to 0.5 than is 8/18.C. The Tuesday series is closer because the 13/18 is closer to 0.5 than is 9/12.D. The series closest to the theoretical 50/50 cannot be determined without knowing the number of odds and evens in each series.Question 10 of 402.5 PointsA study of two types of weed killers was done on two identical weed plots. One weed killer killed 15% more weeds than the other. This difference was significant at the 0.05 level. What does this mean?A. The improvement was due to the fact that there were more weeds in one study.B. The probability that the difference was due to chance alone is greater than 0.05.C. The probability that one weed killer performed better by chance alone is less than 0.05.D. There is not enough information to make any conclusion.Question 11 of 402.5 PointsA sample space consists of 46 separate events that are equally likely. What is the probability of each?A. 1/24B. 1/46C. 1/32D. 1/18Question 12 of 402.5 PointsBased on meteorological records, the probability that it will snow in a certain town on January 1st is 0.413. Find the probability that in a given year it will not snow on January 1st in that town.A. 0.345B. 0.425C. 0.587D. 0.592Question 13 of 402.5 PointsIf you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least one head?A. 4/9B. 5/6C. 7/8D. 5/8Question 14 of 402.5 PointsIn a poll, respondents were asked whether they had ever been in a car accident. 220 respondents indicated that they had been in a car accident and 370 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth.A. 0.384B. 0.380C. 0.373D. 0.370Question 15 of 402.5 PointsThe data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $98,000.112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 86,000 105,000140,000 94,000 126,000 119,000 98,000 154,000 78,000 119,000A. 0.4B. 0.6C. 0.66D. 0.7Question 16 of 402.5 PointsOn a multiple choice test, each question has 6 possible answers. If you make a random guess on the first question, what is the probability that you are correct?A. 1/5B. 1/6C. 1/4D. 2/5Question 17 of 402.5 PointsA 28-year-old man pays $125 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, to the nearest dollar, what is the man’s expected value for the insurance policy?A. $139,916B. −$41C. $84D. −$124Question 18 of 402.5 PointsJoe dealt 20 cards from a standard 52-card deck, and the number of red cards exceeded the number of black cards by 8. He reshuffled the cards and dealt 30 cards. This time, the number of red cards exceeded the number of black cards by 10. Determine which deal is closer to the 50/50 ratio of red/black expected of fairly dealt hands from a fair deck and why.A. The first series is closer because 1/10 is farther from 1/2 than is 1/8.B. The series closer to the theoretical 50/50 cannot be determined unless the number of red and black cards for each deal is given.C. The second series is closer because 20/30 is closer to 1/2 than is 14/20.D. The first series is closer because the difference between red and black is smaller than the difference in the second series.Question 19 of 402.5 PointsSuppose you pay $1.00 to roll a fair die with the understanding that you will get back $3.00 for rolling a 5 or a 2, nothing otherwise. What is your expected value?A. $1.00B. $0.00C. $3.00D. −$1.00Question 20 of 402.5 PointsThe probability that Luis will pass his statistics test is 0.94. Find the probability that he will fail his statistics test.A. 0.02B. 0.05C. 0.94D. 0.06Question 21 of 402.5 PointsSelect the best fit line on the scatter diagram below.A. AB. BC. CD. None of the lines is the line of best fitQuestion 22 of 402.5 PointsA sample of nine students is selected from among the students taking a particular exam. The nine students were asked how much time they had spent studying for the exam and the responses (in hours) were as follows:18, 7, 10, 13, 12, 16, 5, 20, 21Estimate the mean study time of all students taking the exam. Round your answer to the nearest tenth of an hour if necessary.A. 13 hoursB. 12.2 hoursC. 13.6 hoursD. It is not possible to estimate the population mean from this sample dataQuestion 23 of 402.5 PointsWhich point below would be an outlier if it were on the following graph?A. (25, 20)B. (5, 12)C. (7, 5)D. (5, 3)Question 24 of 402.5 PointsThe scatter plot and best-fit line show the relation among the number of cars waiting by a school (y) and the amount of time after the end of classes (x) in arbitrary units. The correlation coefficient is -0.55. Determine the amount of variation in the number of cars not explained by the variation time after school.A. 55%B. 70%C. 30%D. 45%Question 25 of 402.5 PointsEleven female college students are selected at random and asked their heights. The heights (in inches) are as follows:67, 59, 64, 69, 65, 65, 66, 64, 62, 64, 62Estimate the mean height of all female students at this college. Round your answer to the nearest tenth of an inch if necessary.A. It is not possible to estimate the population mean from this sample dataB. 64.3 inchesC. 64.9 inchesD. 63.7 inchesQuestion 26 of 402.5 PointsWhich graph has two groups of data, correlations within each group, but no correlation among all the data?A. B. C. D. Question 27 of 402.5 PointsThe scatter plot and best-fit line show the relation among the data for the price of a stock (y) and employment (x) in arbitrary units. The correlation coefficient is 0.8. Predict the stock price for an employment value of 6.A. 8.8B. 6.2C. 8.2D. None of the values are correctQuestion 28 of 402.5 PointsIn a poll of 400 voters in a certain state, 61% said that they opposed a voter ID bill that might hinder some legitimate voters from voting. The margin of error in the poll was reported as 4 percentage points (with a 95% degree of confidence). Which statement is correct?A. The reported margin of error is consistent with the sample size.B. There is not enough information to determine whether the margin of error is consistent with the sample size.C. The sample size is too small to achieve the stated margin of error.D. For the given sample size, the margin of error should be smaller than stated.Question 29 of 402.5 Points30% of the fifth grade students in a large school district read below grade level. The distribution of sample proportions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?A. 0.8932B. 0.8920C. 0.9032D. 0.9048Question 30 of 402.5 PointsA sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.A. 28.0 to 30.0B. 25.0 to 27.0C. 29.0 to 31.0D. 27.0 to 29.0Question 31 of 402.5 PointsAmong a random sample of 500 college students, the mean number of hours worked per week at non-college related jobs is 14.6. This mean lies 0.4 standard deviations below the mean of the sampling distribution. If a second sample of 500 students is selected, what is the probability that for the second sample, the mean number of hours worked will be less than 14.6?A. 0.5B. 0.6179C. 0.6554D. 0.3446Question 32 of 402.5 PointsSelect the best estimate of the correlation coefficient for the data depicted in the scatter diagram.A. -0.9B. 0.1C. 0.5D. 0.9Question 33 of 402.5 PointsThe graph shows a measure of fitness (y) and miles walked weekly. Identify the probable cause of the correlation.A. The correlation is coincidental.B. There is a common underlying cause of the correlation.C. There is no correlation between the variables.D. Walking is a direct cause of the fitness.Question 34 of 402.5 PointsSample size = 400, sample mean = 44, sample standard deviation = 16. What is the margin of error?A. 1.4B. 1.6C. 2.2D. 2.6Question 35 of 402.5 PointsWhich line of the three shown in the scatter diagram below fits the data best?A. AB. BC. CD. All the lines are equally goodQuestion 36 of 402.5 PointsSelect the best estimate of the correlation coefficient for the data depicted in the scatter diagram. A. -0.9B. 0.9C. 0.5D. -0.5Question 37 of 402.5 PointsA researcher wishes to estimate the mean amount of money spent per month on food by households in a certain neighborhood. She desires a margin of error of $30. Past studies suggest that a population standard deviation of $248 is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.A. 274B. 284C. 264D. 272Question 38 of 402.5 PointsWrite possible coordinates for the single outlier such that it would no longer be an outlier.A. (23, 18)B. (20, 5)C. (15, 15)D. (12, 15)Question 39 of 402.5 PointsSelect the best fit line on the scatter diagram below.A. AB. BC. CD. All of the lines are equally goodQuestion 40 of 402.5 PointsSelect the best estimate of the correlation coefficient for the data depicted in the scatter diagram.A. 0.60B. -0.97C. 0.10D. -0.60
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