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Sample Test QuestionsNAME:Virtual Course MATH 250 Elements of StatisticsMultiple Choice. Choose the one best answer, placing that answer to the left of the question's number. Work should be shown out to the right of the question as needed. Hypothesis testing templates are provided on the next worksheet.1.The editors of Celebrity Statistics magazine wish to determine Americans’ favorite celebrities. A ballot is included in the November issue of the magazine. Readers are encouraged to mail in their ballots. Indicate the population and sample.A.Population: Readers of Celebrity StatisticsSample: Readers who mail in their ballotsB.Population: Readers who mail in their ballotsSample: Readers of Celebrity StatisticsC.Sample: AmericansD.Population: Americans2.What percent of hospital patients were at most 49 years old?AgesFrequency0-910-1920-2930-3940-4950-593.Within which age group would the third quartile (Q3) fall?60-6970-7980-8990-994.Consider the following stem-and-leaf plot displaying ACT scores. In the plot, 1|2 represents a score of 12. Which of the following is false with regard to the data in this stem-and-leaf plot?2334There were 29 pieces of data collected57888899The range of this data set is 23000112223The median of this data set is 2155567The mode for the data set is 182355.A state politician wants to gauge public opinion in his area before deciding to run for re-election. For the study, 200 registered voters are chosen at random from each county in his district. What type of sampling is being utilized?Cluster SamplingStratified SamplingSystematic SamplingSimple Random SamplingThe following data shows the weights of 12 randomly selected newborn babies.6.Find the mean and median to the nearest hundredth for this sample data.mean = 7.32, median = 7.30Mean = mean = 7.30, median = 7.32Median =mean = 7.50, median = 7.48mean = 7.48, median = 7.5087.Which of the following gives the sample standard deviation and the range of the sample data?SD: 1.10; Range: 1.8Std Dev = SD: 1.15; Range: 3.7Range = SD: 1.10; Range: 3.7SD: 1.15; Range: 1.88.Which one of the following describes a quantitative, continuous variable? Classification of students (freshman, sophomore, junior, senior) Lengths of fish caught in a lake Hair color Number of students in a class.Exam Scores for Two 5th Grade Student Groups9.Which distribution shape best describes the boxplot for Class 5A?Bell shapedUniformSkewed rightSkewed left10.Which of the following statements is true concerning the box-and-whisker plots?Class 5A has a larger range than Class 5BClass 5A has a larger interquartile range (IQR) than Class 5BClass 5A has a larger median than Class 5BClass 5A has a larger maximum value than Class 5B 11.Out of twenty randomly chosen college students, at least 8 owned a tablet. What is the complement of this description?Eight or fewer owned a tabletFewer than eight owned a tabletNo more than eight owned a tabletEight or more owned a tablet12.If P(A)=0.03, which one of the following statements is false? The probability of the complement of A is 0.97. The probability of event A happening twice in a row (with replacement) is 0.0009. Event A is an “unusual” event For each 3 times event A happens, there are 100 times in which A doesn’t happen.13.A bag contains 3 red marbles, 9 blue marbles, and 5 green marble. If you draw two marbles, one right after the other and without replacement, what is the probability that they will both be blue?(9/17) * (8/16)(9/17) + (8/16)(9/17) * (8/17)(9/17) + (8/17)The following table is the probability distribution for the number of courses taken by FHSU students in a certain semester. In the table, x = the number of courses taken, and P(x) = the probability of taking x courses.14.The probability that a randomly selected student takes at least 3 courses is:15.Determine the expected number (mean) of courses taken by students.16.40% of all people have blood type A. What is the probability of randomly selecting 2 people and neither of them has blood type A?17.In a class, 15% of the students have a grade of A. Determine the probability of selecting 4 students, and none of them have a grade of A. (This problem meets all the requirements of a binomial situation.)Suppose that the scores for this exam will follow a normal distribution with mean of 60 and a standard deviation of 15.18.What is the z-score that corresponds to a test score of 85?−1.6719.What symmetric interval about the mean will contain approximately 95% of the test scores?25 to 9515 to 10530 to 9045 to 7520.What is the probability that a student's test score will be above 77?21.What test score falls at the 81st percentile? (rounded to the nearest whole number)22.What percentage of students will score between 37 and 88? 23.Suppose random samples of 36 students are selected repeatedly from the population. What is the mean and standard deviation for the sampling distribution of sample means?Mean = 60 Standard deviation = 15Mean = 60 Standard deviation = 2.5Mean = 10 Standard deviation = 15Mean = 10 Standard deviation = 2.524.What is the probability that a class composed of 36 students has a mean score less than 54?Suppose I want to determine the average GPA of FHSU students so I randomly select 41 students and look at their GPA. Suppose that I found that those 41 students had a mean GPA of 2.40 and a population standard deviation of σ=0.825.Compute a 99% confidence interval for the mean GPA of FHSU students. 2.40 ± 0.44 2.40 ± 0.05 2.40 ± 0.32 2.40 ± 0.3726.How large a sample, n, should be used to change the margin of error to 0.10 with the same 99% confidence?27.Consider the 99% confidence interval for the mean GPA of FHSU students. Which of the following would produce a confidence interval with a smaller margin of error?Using a confidence level of 90%Not knowing the value of σUsing a sample size of 30 studentsAll of the above a-c28.Which of the following statements is true?The Central Limit Theorem states that a sampling distribution will have the same shape as the population distribution from which it is taken.The Central Limit Theorem states that the mean of a sampling distribution of means will have the same mean as the population distribution from which it is taken.The Central Limit Theorem states that the standard deviation of a sampling distribution of means will have the same standard deviation as the population distribution from which it is taken.None of a-c are true.29.Which of the following statements regarding confidence of population means is false? When the population is approximately normal and σ is known, use the critical value, z.When n > 30 and σ is unknown, use the critical value, t.When n < 30 and the population shape is unknown, use the critical value, z. When the population is approximately normal and σ is unknown, use the critical value t.30.A researcher is interested in conducting a poll on the President’s approval rating. A margin of error of at most 3% is desired. How many people must be sampled to meet this requirement at the 95% confidence level if no preliminary estimate of p-hat is known?31.The marketing director for a cereal company would like to know what proportion of households that received free samples of the cereal with their newspapers later purchase the cereal. A random sample of 207 households showed that 58 purchased the cereal after receiving the free sample. Construct a 90% confidence interval for the percentage of all households that purchased the cereal after receiving the free sample.0.25 to 0.310.20 to 0.360.23 to 0.330.18 to 0.3832.The US census reported that it takes workers an average of 28 minutes to drive home from work. City officials in Wichita believe that it takes workers in their city less than 28 minutes to drive home from work. Which of the following gives the proper alternative hypothesis to test the claim that the average length of time for workers in Wichita to drive home from work is less than 28 minutes?H1: µ = 28H1: µ < 28H1: µ > 28H1: µ ≠ 2833.Suppose for a particular hypothesis test, α = 0.05 and the P-value = 0.03. Which of the following statements is false? We reject the null hypothesis. The result is statistically significant. The observed result is "unusual". The computed test statistic, z, does not fall in the shaded critical region of the tail in the normal curve34.It has been reported that the national average amount a single person spends annually for housing is \$10,465. A random sample of 35 householders living in the Denver area had a sample mean housing cost of \$12,575 and standard deviation of \$4,580. Do these data indicate that householders in the Denver area spend more for housing than the national average? Compute the test statistic for this test35.A survey conducted five years ago showed that 79% of the households in Hays participated in the recycling program. In a recent poll of 1250 randomly selected households, 1025 said that they participate in the recycling program. A hypothesis test is to be conducted to test the claim that the population proportion of Hays households that participate in the recycling program is greater than 79%. Compute the P value for this test. 36.The number of sales y for a company (in millions of dollars) for each year since 2005 is modeled by the equation . Use the regression equation to predict the number of sales in the year 20120.6 million dollars70.4 million dollars16912 million dollars238 million dollars37.A correlation coefficient of 0.92 between two quantitative variables A and B indicates thatAs A increases, B tends to increase.As A increases, B tends to decrease.Changes in A cause changes in B. There is a very weak association between A and B, and change in A will not affect B38.Of the scatterplot graphs below, which one represents the strongest, negative linear correlation?A medical researcher wishes to descrive the relationship between the prescription cost of a brand name drug and its generic equivalent. The data (in dollars) are shown below.x (Cost of brand name drug)y (Cost of generic drug)39.Compute the least squares regression line for the cost of generic drugs versus the cost of brand name drugs. ŷ = -4.17x + 0.382 ŷ = 0.382x - 4.17 ŷ = 0.86x + 0.74 ŷ = 0.74x + 0.8640.Calculate the linear correlation coefficient between the two variables.

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# Virtual Course MATH 250 Elements of Statistics Probelms

Question # 00005194
Subject: Mathematics
Due on: 12/12/2013
Posted On: 12/11/2013 11:35 PM

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Virtual Course MATH 250 Elements of Statistics
Multiple Choice. Choose the one best answer, placing that answer to the left of the question's number. Work should be shown out to the right of the question as needed. Hypothesis testing templates are provided on the next worksheet.

1. The editors of Celebrity Statistics magazine wish to determine Americans’ favorite celebrities. A ballot is included in the November issue of the magazine. Readers are encouraged to mail in their ballots. Indicate the population and sample.

A. Population: Readers of Celebrity Statistics
Sample: Readers who mail in their ballots
B. Population: Readers who mail in their ballots
Sample: Readers of Celebrity Statistics
C. Population: Readers who mail in their ballots
Sample: Americans
D. Population: Americans
Sample: Readers who mail in their ballots

2. What percent of hospital patients were at most 49 years old?
Ages Frequency
A. 70.8% 0-9 3
B. 60.4% 10-19 3
C. 39.6% 20-29 4
D. 29.2% 30-39 4
40-49 5
50-59 7
3. Within which age group would the third quartile (Q3) fall? 60-69 9
70-79 8
A. 50-59 80-89 3
B. 60-69 90-99 2
C. 70-79
D. 80-89

4. Consider the following stem-and-leaf plot displaying ACT scores. In the plot, 1|2 represents a score of 12. Which of the following is false with regard to the data in this stem-and-leaf plot?

1 2334
A. There were 29 pieces of data collected 1 57888899
B. The range of this data set is 23 2 000112223
C. The median of this data set is 21 2 55567
D. The mode for the data set is 18 3 23
3 5

5. A state politician wants to gauge public opinion in his area before deciding to run for re-election. For the study, 200 registered voters are chosen at random from each county in his district. What type of sampling is being utilized?

A. Cluster Sampling
B. Stratified Sampling
C. Systematic Sampling
D. Simple Random Sampling

The following data shows the weights of 12 randomly selected newborn babies.
6.8 9.1 8.7 7.5 8.2 5.4 6.5 8.5 7.3 6.6 5.9 7.3

6. Find the mean and median to the nearest hundredth for this sample data.

A. mean = 7.32, median = 7.30 Mean = 7.32
B. mean = 7.30, median = 7.32 Median = 7.30
C. mean = 7.50, median = 7.48
D. mean = 7.48, median = 7.508

7. Which of the following gives the sample standard deviation and the range of the sample data?

A. SD: 1.10; Range: 1.8 Std Dev = 1.15
B. SD: 1.15; Range: 3.7 Range = 3.70
C. SD: 1.10; Range: 3.7
D. SD: 1.15; Range: 1.8

8. Which one of the following describes a quantitative, continuous variable?

A. Classification of students (freshman, sophomore, junior, senior)
B. Lengths of fish caught in a lake
C. Hair color
D. Number of students in a class.

Exam Scores for Two 5th Grade Student Groups

9. Which distribution shape best describes the boxplot for Class 5A?

A. Bell shaped
B. Uniform
C. Skewed right
D. Skewed left

10. Which of the following statements is true concerning the box-and-whisker plots?

A. Class 5A has a larger range than Class 5B
B. Class 5A has a larger interquartile range (IQR) than Class 5B
C. Class 5A has a larger median than Class 5B
D. Class 5A has a larger maximum value than Class 5B

11. Out of twenty randomly chosen college students, at least 8 owned a tablet. What is the complement of this description?

A. Eight or fewer owned a tablet
B. Fewer than eight owned a tablet
C. No more than eight owned a tablet
D. Eight or more owned a tablet

12. If P(A)=0.03, which one of the following statements is false?

A. The probability of the complement of A is 0.97.
B. The probability of event A happening twice in a row (with replacement) is 0.0009.
C. Event A is an “unusual” event
D. For each 3 times event A happens, there are 100 times in which A doesn’t happen.

13. A bag contains 3 red marbles, 9 blue marbles, and 5 green marble. If you draw two marbles, one right after the other and without replacement, what is the probability that they will both be blue?

A. (9/17) * (8/16)
B. (9/17) + (8/16)
C. (9/17) * (8/17)
D. (9/17) + (8/17)

The following table is the probability distribution for the number of courses taken by FHSU students in a certain semester. In the table, x = the number of courses taken, and P(x) = the probability of taking x courses.

14. The probability that a randomly selected student takes at least 3 courses is:

A. 0.151
B. 0.249
C. 0.600
D. 0.849

15. Determine the expected number (mean) of courses taken by students.

A. 0.2
B. 0.7
C. 3.0
D. 3.5

16. 40% of all people have blood type A. What is the probability of randomly selecting 2 people and neither of them has blood type A?

A. 1.20
B. 0.80
C. 0.36
D. 0.16
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#### Solutions for Virtual Course MATH 250 Elements of Statistics Probelms

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Tutorial Preview …celebrities x ballot xx included in xxx November issue xx the xxxxxxxx xxxxxxx are xxxxxxxxxx to mail xx their ballots xxxxxxxx the xxxxxxxxxx xxx sample x Population: Readers xx Celebrity Statistics xxxxxxx Readers xxx xxxx in xxxxx ballots B xxxxxxxxxxx Readers who xxxx in…
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Virtual_Course_MATH_250_Elements_of_Statistics.xlsx (183.48 KB)
Preview: a xxxxxxxxxxx than xxxxx owned a xxxxxxxx more than xxxxx owned x xxxxxxxxxxx or xxxx owned a xxxxxxxx If P(A)=0 xxx which xxx xx the xxxxxxxxx statements is xxxxxx The probability xx the xxxxxxxxxx xx A xx 0 97 xxx probability of xxxxx A xxxxxxxxx xxxxx in x row (with xxxxxxxxxxxx is 0 xxxx Event x xx an xxxxxxxxxxxxx event For xxxx 3 times xxxxx A xxxxxxxx xxxxx are xxx times in xxxxx A doesn’t xxxxxx 13 x xxx contains x red marbles, x blue marbles, xxx 5 xxxxx xxxxxx If xxx draw two xxxxxxxx one right xxxxx the xxxxx xxx without xxxxxxxxxxxx what is xxx probability that xxxx will xxxx xx blue?(9/17) x (8/16)(9/17) + xxxxxxxxxxxx * (8/17)(9/17) x (8/17)Problems xx xxx 15 xxxxx to the xxxxxxxxx table: The xxxxxxxxx table xx xxx probability xxxxxxxxxxxx for the xxxxxx of courses xxxxx by xxxx xxxxxxxx in x certain semester xx the table, x = xxx xxxxxx of xxxxxxx taken, and xxxx = the xxxxxxxxxxx of xxxxxx x courses xx The probability xxxx a randomly xxxxxxxx student xxxxx xx least x courses is:xP(x)15 xxxxxxxxx the expected xxxxxx (mean) xx xxxxxxx taken xx students 16 xxx of all xxxxxx have xxxxx xxxx A xxxx is the xxxxxxxxxxx of randomly xxxxxxxxx 2 xxxxxx xxx neither xx them has xxxxx type A?17 xx a xxxxxx xxx of xxx students have x grade of x Determine xxx xxxxxxxxxxx of xxxxxxxxx 4 students, xxx none of xxxx have x xxxxx of x (This problem xxxxx all the xxxxxxxxxxxx of x xxxxxxxx situation xxxxxxxxx 18 through xx refer to xxx following xxxxxxxxxxxxx xxxxxxx that xxx scores for xxxx exam will xxxxxx a xxxxxx xxxxxxxxxxxx with xxxx of 60 xxx a standard xxxxxxxxx of xx xx What xx the z-score xxxx corresponds to x test xxxxx xx 85??1 xxxx What symmetric xxxxxxxx about the xxxx will xxxxxxx xxxxxxxxxxxxx 95% xx the test xxxxxxxxx to 9515 xx 10530 xx xxxx to xxxx What is xxx probability that x student's xxxx xxxxx will xx above 77?21 xxxx test score xxxxx at xxx xxxx percentile? xxxxxxxx to the xxxxxxx whole number)22 xxxx percentage xx xxxxxxxx will xxxxx between 37 xxx 88? 23 xxxxxxx random xxxxxxx xx 36 xxxxxxxx are selected xxxxxxxxxx from the xxxxxxxxxx What xx xxx mean xxx standard deviation xxx the sampling xxxxxxxxxxxx of xxxxxx xxxxxxxxxx = xx Standard deviation x 15Mean = xx Standard xxxxxxxxx x 2 xxxxx = 10 xxxxxxxx deviation = xxxxxx = xx xxxxxxxx deviation x 2 524 xxxx is the xxxxxxxxxxx.....
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