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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.

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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

Answer: c.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.

Answer: b.2

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.

Answer: c.N >= n.

Either the sample consists of the entire population in which case N=n or the sample is a sub set of the population in which case N>n; combining both these situations N >=n.

Use ...

Solution Summary

Answers to Multiple Choice Questions on Statistics concepts: sample, population, mean, median, mode, range, standard deviation, variance, probability, confidence interval estimate

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21 prob/stats multiple choice questions

Express the indicated degree of likelihood as a probability value.
1)

"You have a 50-50 chance of choosing the correct answer."

1)

_______
A)

50

B)

0.50

C)

0.9

D)

0.25

2)

"It will definitely turn dark tonight."

2)

_______
A)

0.67

B)

0.5

C)

0.30

D)

1

Answer the question.
3)

Which of the following cannot be a probability?

3)

_______
A)

0

B)

1

C)

-1

D)

From the information provided, create the sample space of possible outcomes.
4)

Flip a coin twice.

4)

_______
A)

HT TH

B)

HH HT TH TT

C)

HH TT HT HT

D)

HH HT TT

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
5)

On an exam on probability concepts, Sue had an answer of for one problem. Explain how she knew that this result was incorrect.

5)

_____________

6)

Discuss the range of possible values for probabilities. Give examples to support each.

6)

_____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the events are mutually exclusive.
7)

Draw one ball colored red from a bag.
Draw one ball colored blue from the same bag.

7)

_______
A)

Yes

B)

No

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
8)

Consider the following formulas: and
Given the same values for n and r in each formula, which is the smaller value, P or C? How does this relate to the concept of counting the number of outcomes based on whether or not order is a criterion?

8)

_____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the indicated probability.
9)

The table below describes the smoking habits of a group of asthma sufferers.

If one of the 1073 people is randomly selected, find the probability that the person is a man or a heavy smoker.

9)

_______
A)

0.614

B)

0.487

C)

0.545

D)

0.580

10)

A 6-sided die is rolled. Find P(3 or 5).

10)

______
A)

B)

C)

D)

2

Is Event B dependent or independent of Event A?
11)

A: A Chicagoan visits New York on vacation.
B: He visits Central Park.

11)

______
A)

Independent

B)

Dependent

Find the indicated probability.
12)

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black.

12)

______
A)

B)

C)

D)

Evaluate the expression.
13)

13)

______
A)

1

B)

5

C)

24

D)

120

14)

14)

______
A)

45

B)

80,640

C)

40,320

D)

5

Solve the problem.
15)

How many ways can an IRS auditor select 4 of 10 tax returns for an audit?

15)

______
A)

10,000

B)

5040

C)

210

D)

24

16)

There are 7 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

16)

______
A)

35

B)

210

C)

5040

D)

343

17)

In a certain lottery, five different numbers between 1 and 36 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?

17)

______
A)

B)

C)

D)

Identify the given random variable as being discrete or continuous.
18)

The number of freshmen in the required course, English 101

18)

______
A)

Discrete

B)

Continuous

19)

The height of a randomly selected student

19)

______
A)

Discrete

B)

Continuous

Find the mean of the given probability distribution.
20)

20)

______
A)

1.74

B)

1.45

C)

1.64

D)

1.55

21)

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.38, 0.11, and 0.01, respectively.

21)

______
A)

1.50

B)

0.25

C)

1.13

D)

0.63

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