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# Multiple Choice Questions on Statistics concepts

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Use the following information to answer questions 1 - 3. Breakdown how you got the answer.

George Johnson, a concerned citizen, has decided to conduct a study of the voters in his town to determine if they approve of the way the mayor is running the government. He intends to ask 30 citizens of voting age their views in order to obtain an approval rating (a percentage) that will be published in the local newspaper. George comes from a large town. The town clerk, who monitors the voting booths, informed him that all the voters in the entire town registered at a recent election, and 310,000 votes were counted.

1. The voters in the town represent the
1. sample.
2. variable of interest.
3. population of interest.
a. 1
b. 2
c. 3
d. 2 and 3

2. The mayor's approval rating is the
1. sample.
2. variable of interest.
3. population of interest.
a. 1.
b. 2.
c. 3.
d. 2 and 3.

4. If the size of a population is N and the size of a sample of the same population is n, then the correct relationship between N and n is
a. N < n.
b. n > N.
c. N >= n.
d. n = N - 1.

Use the following for questions 5-10
At the start of the 1999 NCAA men's basketball tournament, 64 teams were invited to compete for the national championship. Below is the number of victories that a sample of 8 of these teams had obtained during the regular season:
32 12 28 22 20 25 22 19

5. What is the sample mean number of regular season victories?

6. What is the sample median number of regular season victories?

7. What is the sample mode number of regular season victories?

8. What is the sample range in values of the number of regular season victories?

9. What is the sample variance of regular season victories?

10. What is the sample standard deviation of regular season victories?

11. What information does comparing the mean and median provide?

12. Margaret Morris just correctly computed a standard deviation of 6.0 from a sample of 50 observations. What is the variance of Margaret's sample?
a. 0.12
b. 0.72
c. 36
d. 44

13. Kim Fernando has just found the variance of a sample of 32 observations to be 64.0 by using a formula that is programmed into her new calculator. Therefore, what is the sample standard deviation?
a. 2.0
b. 4.0
c. 8.0
d. 4,096

14. A store manager found that 20 of his 50 ties in stock are striped. What is the probability that a random selection of a tie to show a customer will be striped?
a. 0
b. 0.2
c. 0.4
d. 0.5

15. The minimum value that any probability can be is _________ and the maximum value is _________.
a. 0, 1
b. -1, 0
c. -1, 0
d. 0, infinity

16. If the probability that Jeff Springs will win the high jump at the state meet is 0.2, the probability that someone other than Jeff wins the high jump is
a. 0
b. 0.2
c. 0.5
d. 0.8

17-20. A university wants to estimate the average amount of money that students spend on textbooks in a semester. It takes a random sample of 45 students and finds that an average amount of money spent was \$282 with a standard deviation of \$21. Find a 95% confidence interval estimate for the true mean amount of money spent on textbooks in a semester.

https://brainmass.com/statistics/quantative-analysis-of-data/multiple-choice-questions-on-statistics-concepts-189406

#### Solution Preview

Use the following information to answer questions 1 - 3. Breakdown how you got the answer.

George Johnson, a concerned citizen, has decided to conduct a study of the voters in his town to determine if they approve of the way the mayor is running the government. He intends to ask 30 citizens of voting age their views in order to obtain an approval rating (a percentage) that will be published in the local newspaper. George comes from a large town. The town clerk, who monitors the voting booths, informed him that all the voters in the entire town registered at a recent election, and 310,000 votes were counted.

1.The voters in the town represent the

1.sample.

2.variable of interest.

3.population of interest.

a.1

b.2

c.3

d.2 and 3

The variable of interest is the mayor's approval rating; sample is the set of 30 citizens on whom the study will be done. The voters form the population of interest

2.The mayor's approval rating is the

1.sample.

2.variable of interest.

3.population of interest.

a.1.

b.2.

c.3.

d.2 and 3.

4.If the size of a population is N and the size of a sample of the same population is n, then the correct relationship between N and n is

a.N < n.

b.n > N.

c.N >= n.

d.n = N - 1.