Analysis Of Variance Chapter.12 Complete Test Bank - Statistics 10e | Test Bank by Prem S. Mann by Prem S. Mann. DOCX document preview.

Analysis Of Variance Chapter.12 Complete Test Bank

Introductory Statistics, 10e (Mann)

Chapter 12 Analysis of Variance

12.1 The F Distribution

1) To use an F distribution, the random variable must be:

A) a discrete random variable

B) a continuous random variable

C) a qualitative random variable

D) either a discrete or a continuous random variable

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 001

2) The shape of the F distribution curve is:

A) skewed to the left

B) skewed to the right

C) symmetric

D) rectangular

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 002

3) Which of the following is not a characteristic of an F distribution?

A) The F distribution is continuous and skewed to the right.

B) The F distribution has two numbers of degrees of freedom: degrees of freedom for the numerator and for the denominator.

C) The F distribution has two parameters: the mean and the standard deviation.

D) The units of an F distribution are always nonnegative.

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 003

4) Which of the following is not a characteristic of the F distribution?

A) It has two numbers of degrees of freedom: df for the numerator, and df for the denominator, and these two numbers may or may not be equal to each other.

B) It is symmetric.

C) It is continuous.

D) The units of the F distribution are always nonnegative.

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 004

5) The units of an F distribution:

A) are always negative

B) are always positive

C) are always nonnegative

D) can be negative, zero, or positive

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 005

6) The parameters of the F distribution are:

A) the mean and the standard deviation

B) the sample size minus one and F

C) the degrees of freedom for the numerator and the degrees of freedom for the denominator

D) F and n, where n is the sample size

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 006

7) The F value for 9 degrees of freedom for the numerator, 12 degrees of freedom for the denominator, and a .01 area in the right tail is:

A) 2.80

B) 5.11

C) 4.74

D) 4.39

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 007

8) Find the critical value of F for df = (25,14) and area in the right tail = 0.05.

A) 2.78

B) 2.34

C) 3.19

D) 1.87

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 008

9) Find the critical value of F for d.f = (3, 7) and the area in the right tail = 0.010.

A) 8.45

B) 4.35

C) 5.89

D) 1.96

Diff: 1

LO: 12.1.0 Demonstrate an understanding of the fundamentals of the F Distribution.

Section: 12.1 The F Distribution

Question Title: Chapter 12, Testbank Question 009

12.2 One-Way Analysis of Variance

1) We can use the analysis of variance procedure to test hypotheses about:

A) the mean of one population

B) the proportion of one population

C) two or more population proportions

D) two or more population means

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 010

2) Which of the following assumptions is not required to use ANOVA?

A) The populations from which the samples are drawn are (approximately) normally distributed.

B) The populations from which the samples are drawn have the same variance.

C) All samples are of the same size.

D) The samples drawn from different populations are random and independent.

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 011

3) In a one-way ANOVA, we analyze only one:

A) mean

B) population

C) sample

D) variable

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 012

4) A one-way ANOVA test:

A) is a left-tailed test

B) is a right-tailed test

C) is a two-tailed test

D) can be a two-tailed, a right-tailed, or a left-tailed test

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 013

5) To make tests of hypotheses about more than two population means, we use the:

A) t distribution

B) normal distribution

C) chi-square distribution

D) analysis of variance procedure

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 014

6) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display

Type I

Display

Type II

Display

Type III

90

135

160

135

128

150

135

132

141

115

120

134

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The value of SSB is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 015

7) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display

Type I

Display

Type II

Display

Type III

93

135

160

132

136

150

135

124

135

115

120

140

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The value of SSW, rounded to two decimal places, is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 016

8) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display

Type I

Display

Type II

Display

Type III

100

135

160

125

133

150

135

127

147

115

120

128

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The degrees of freedom for the numerator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 017

9) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display

Type I

Display

Type II

Display

Type III

103

135

160

122

121

150

135

139

135

115

120

140

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The degrees of freedom for the denominator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 018

10) A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type 1 in four of the stores, display type 2 in four others, and display type 3 in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one month period at each of the twelve stores. The table shown below reports the sales information.

Display

Type I

Display

Type II

Display

Type III

106

135

160

119

140

150

135

120

130

115

120

145

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The value of the test statistic F, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 019

11) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community:

Mail

TV

Internet

7

9

16

7

13

11

10

7

14

7

14

8

9

4

9

5

7

14

4

8

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. The value of SSB, rounded to four decimal places, is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 020

12) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community:

Mail

TV

Internet

7

9

16

7

12

11

10

8

12

7

14

8

9

4

9

5

7

14

4

10

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. What is the variance within samples, rounded to four decimal places?

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 021

13) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community:

Mail

TV

Internet

5

9

16

9

11

11

10

9

11

7

14

8

9

4

9

5

7

14

4

11

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. The degrees of freedom for the numerator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 022

14) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community:

Mail

TV

Internet

6

9

16

8

9

11

10

11

10

7

14

8

9

4

9

5

7

14

4

12

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. The degrees of freedom for the denominator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 023

15) The marketing manager for a software company is trying to decide whether to market her company's newest product by mail, on television, or through the Internet. She selects 20 communities in which to test-market the product, advertising through one of the three media in each community. The following table shows the amount of sales, in hundreds of dollars, for each community:

Mail

TV

Internet

5

9

16

9

13

11

10

7

14

7

14

8

9

4

9

5

7

14

4

8

Sales are normally distributed and the standard deviations are equal for all three methods of advertising. You are to test the hypothesis that the means are the same for all three treatments using the ANOVA method. The value of the test statistic F, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 024

16) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is (H) with subscript (0): (μ) with subscript (1) = (μ) with subscript (2) = (μ) with subscript (3) = (μ) with subscript (4) = (μ) with subscript (5).

Source of Variation

Degrees of Freedom

Sum of Squares

Mean Square

F

Between

36.4

Within

80.2

Total

36

How many data points were used in this analysis?

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 025

17) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is (H) with subscript (0): (μ) with subscript (1) = (μ) with subscript (2) = (μ) with subscript (3) = (μ) with subscript (4) = (μ) with subscript (5).

Source of Variation

Degrees of Freedom

Sum of Squares

Mean Square

F

Between

38.6

Within

58.9

Total

32

How many degrees of freedom are there for the between groups variation?

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 026

18) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is (H) with subscript (0): (μ) with subscript (1) = (μ) with subscript (2) = (μ) with subscript (3) = (μ) with subscript (4) = (μ) with subscript (5).

Source of Variation

Degrees of Freedom

Sum of Squares

Mean Square

F

Between

37.8

Within

62.6

Total

34

How many degrees of freedom are there for the within groups variation?

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 027

19) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is (H) with subscript (0): (μ) with subscript (1) = (μ) with subscript (2) = (μ) with subscript (3) = (μ) with subscript (4) = (μ) with subscript (5).

Source of Variation

Degrees of Freedom

Sum of Squares

Mean Square

F

Between

40.5

Within

72.8

Total

32

What is the value of the total sum of squares? (Round your answer to one decimal place.)

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 028

20) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is (H) with subscript (0): (μ) with subscript (1) = (μ) with subscript (2) = (μ) with subscript (3) = (μ) with subscript (4) = (μ) with subscript (5).

Source of Variation

Degrees of Freedom

Sum of Squares

Mean Square

F

Between

38.2

Within

94.2

Total

41

What is the value of the mean square between groups? (Round your answer to three decimal places.)

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 029

21) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is (H) with subscript (0): (μ) with subscript (1) = (μ) with subscript (2) = (μ) with subscript (3) = (μ) with subscript (4) = (μ) with subscript (5).

Source of Variation

Degrees of Freedom

Sum of Squares

Mean Square

F

Between

28.9

Within

85.8

Total

32

What is the value of the mean square within groups? (Round your answer to three decimal places.)

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 030

22) Your associate just took a lunch break and gave you the following incomplete ANOVA table she was trying to finish before noon. The null hypothesis for this test is (H) with subscript (0): (μ) with subscript (1) = (μ) with subscript (2) = (μ) with subscript (3) = (μ) with subscript (4) = (μ) with subscript (5).

Source of Variation

Degrees of Freedom

Sum of Squares

Mean Square

F

Between

36.5

Within

68.1

Total

44

What is the value of the test statistic F? (Round your answer to three decimal places.)

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 031

23) Using ANOVA, you test the hypothesis that the means of 3 treatments are the same. You calculate the MSW as 16.6. The value of the test statistic F is 2.1. What is the between samples sum of squares, rounded to two decimal places?

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 032

24) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

17

9

16

26

20

24

19

8

16

12

19

16

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of sum of (x) is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 033

25) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

16

9

16

27

16

24

19

12

18

12

19

14

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of sum of ((x) with superscript (2)) is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 034

26) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

21

9

16

22

15

24

19

13

16

12

19

16

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of SSB, rounded to two decimal places, is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 035

27) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

22

9

16

21

13

24

19

15

14

12

19

18

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of SSW is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 036

28) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

17

9

16

26

14

24

19

14

12

12

19

20

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of MSB is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 037

29) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

21

9

16

22

20

24

19

8

15

12

19

17

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of MSW, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 038

30) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

15

9

16

28

16

24

19

12

12

12

19

20

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The degrees of freedom for the numerator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 039

31) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

22

9

16

21

14

24

19

14

16

12

19

16

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The degrees of freedom for the denominator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 040

32) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

22

9

16

21

13

24

19

15

18

12

19

14

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The critical value of F is:

A) 4.81

B) 2.76

C) 6.93

D) 99.42

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 041

33) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

22

9

16

21

14

24

19

14

18

12

19

14

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. The value of the test statistic F, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 042

34) The table shown below gives information on a variable for three samples selected from three normally distributed populations with equal variances.

Sample I

Sample II

Sample III

15

14

21

20

9

16

23

13

24

19

15

10

12

19

22

By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 043

35) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

10

14

11

12

8

14

15

19

9

20

4

8

6

19

4

11

13

12

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of sum of (x) is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 044

36) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

6

14

11

12

12

19

15

19

9

20

4

8

6

14

4

10

13

13

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of sum of ((x) with superscript (2)) is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 045

37) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

9

14

11

12

9

21

14

19

9

20

5

8

6

12

4

8

13

15

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of SSB, rounded to three decimal places, is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 046

38) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

8

14

11

12

10

14

9

19

9

20

10

8

6

19

4

9

13

14

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of SSW is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 047

39) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

10

14

11

12

8

17

12

19

9

20

7

8

6

16

4

11

13

12

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of MSB, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 048

40) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

10

14

11

12

8

22

9

19

9

20

10

8

6

11

4

11

13

12

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of MSW, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 049

41) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

11

14

11

12

7

22

11

19

9

20

8

8

6

11

4

11

13

12

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The degrees of freedom for the numerator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 050

42) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

9

14

11

12

9

19

11

19

9

20

8

8

6

14

4

8

13

15

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The degrees of freedom for the denominator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 051

43) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

6

14

11

12

12

21

14

19

9

20

5

8

6

12

4

10

13

13

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The critical value of F is:

A) 5.48

B) 3.16

C) 7.15

D) 1.84

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 052

44) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

10

14

11

12

8

23

8

19

9

20

11

8

6

10

4

7

13

16

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. The significance level is 5%. The value of the test statistic F, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 053

45) The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.

Sample I

Sample II

Sample III

Sample IV

5

8

19

16

7

14

11

12

11

16

10

19

9

20

9

8

6

17

4

7

13

16

By using ANOVA, we wish to test the null hypothesis that the means of the four corresponding populations are equal. Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 054

46) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

9

3

12

5

3

17

6

7

12

8

7

14

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of sum of (x) is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 055

47) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

8

3

12

6

4

17

6

6

15

8

7

11

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of sum of ((x) with superscript (2)) is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 056

48) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

9

3

12

5

6

17

6

4

11

8

7

15

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of SSB is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 057

49) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

6

3

12

8

4

17

6

6

14

8

7

12

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of SSW is:

Diff: 2

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 058

50) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

10

3

12

4

4

17

6

6

12

8

7

14

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of MSB is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 059

51) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

6

3

12

8

6

17

6

4

15

8

7

11

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of MSW, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 060

52) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

8

3

12

6

4

17

6

6

12

8

7

14

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The degrees of freedom for the numerator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 061

53) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

10

3

12

4

8

17

6

2

15

8

7

11

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The degrees of freedom for the denominator of the F distribution are:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 062

54) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

11

3

12

3

7

17

6

3

17

8

7

9

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The critical value of F is:

A) 4.75

B) 3.18

C) 5.10

D) 9.57

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 063

55) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

6

3

12

8

8

17

6

2

12

8

7

14

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. The significance level is 2.5%. Assume that all conditions required to use ANOVA hold true. The value of the test statistic F, rounded to three decimal places, is:

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 064

56) A dietician wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. Fifteen overweight persons were selected at random, then randomly divided into three groups of five, and each group was assigned one of the diets. The table shown below contains the weight loss information for these people after being on their respective diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

8

3

12

6

4

17

6

6

18

8

7

8

By using ANOVA, we wish to test the null hypothesis that the mean weight loss is the same for the three diets. Assume that all conditions required to use ANOVA hold true. Do you reject or fail to reject the null hypothesis at the 2.5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 12.2.0 Demonstrate an understanding of the one-way ANOVA test.

Section: 12.2 One-Way Analysis of Variance

Question Title: Chapter 12, Testbank Question 065

© 2021 John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course. Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

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DOCX
Chapter Number:
12
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 12 Analysis Of Variance
Author:
Prem S. Mann

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