Deck 11: Analysis of Variance

Question 1

The MSE must always be positive.

Answer 1

True

Question 2

An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps the fewest mean number of passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is given below. How should the data be analyzed? Package 1: 12, 14, 9, 11, 16
Package 2: 2, 4, 7, 3, 1
Package 3: 10, 9, 6, 10, 12
Package 4: 7, 6, 6, 15, 12

A) F test for differences in variances
B) One-way ANOVA F test
C) t test for the differences in means
D) t test for the mean difference

Answer 2

One-way ANOVA F test

Question 3

The analysis of variance (ANOVA) tests hypotheses about the population variance.

Answer 3

False

Question 4

The F test statistic in a one-way ANOVA is

A) MSW/MSA.
B) SSW/SSA.
C) MSA/MSW.
D) SSA/SSW.

Question 5

In a one-way ANOVA, if the computed F statistic is greater than the critical F value you may

A) reject H₀ since there is evidence all the means differ.
B) reject H₀ since there is evidence that not all the means are different.
C) not reject H₀ since there is no evidence of a difference in the means.
D) not reject H₀ because a mistake has been made.

Question 6

In a one-factor ANOVA analysis, the among sum of squares and within sum of squares must add up to the total sum of squares.

Question 7

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, the among group degrees of freedom is

A) 3.
B) 4.
C) 12.
D) 16.

Question 8

TABLE 11-1
An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps as few passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is obtained, which gives rise to the following Excel output:

Referring to Table 11-1, the total degrees of freedom is

A) 3.
B) 4.
C) 16.
D) 19.

Question 9

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, the within group sum of squares is

A) 1.0606.
B) 1.1825.
C) 3.1819.
D) 4.3644.

Question 10

TABLE 11-1
An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps as few passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is obtained, which gives rise to the following Excel output:

Referring to Table 11-1, the within groups degrees of freedom is

A) 3.
B) 4.
C) 16.
D) 19.

Question 11

If you are comparing the mean sales among 3 different brands you are dealing with a three-way ANOVA design.

Question 12

When the F test is used for ANOVA, the rejection region is always in the right tail.

Question 13

Which of the following components in an ANOVA table are not additive?

A) Sum of squares
B) Degrees of freedom
C) Mean squares
D) It is not possible to tell.

Question 14

In a one-way ANOVA

A) an interaction term is present.
B) an interaction effect can be tested.
C) there is no interaction term.
D) the interaction term has (c - 1)(n - 1) degrees of freedom.

Question 15

TABLE 11-1
An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps as few passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is obtained, which gives rise to the following Excel output:

Referring to Table 11-1, the among-group (between-group) mean squares is

A) 8.525.
B) 70.8.
C) 212.4.
D) 637.2.

Question 16

A completely randomized design

A) has only one factor with several treatment groups.
B) can have more than one factor, each with several treatment groups.
C) has one factor and one block.
D) has one factor and one block and multiple values.

Question 17

When would you use the Tukey-Kramer procedure?

A) To test for normality
B) To test for homogeneity of variance
C) To test independence of errors
D) To test for differences in pairs of means

Question 18

In a one-way ANOVA, the null hypothesis is always

A) there is no difference in the population means.
B) there is some treatment effect.
C) all the population means are different.
D) some of the population means are different.

Question 19

TABLE 11-1
An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps as few passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is obtained, which gives rise to the following Excel output:

Referring to Table 11-1, at a significance level of 1%,

A) there is insufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same.
B) there is insufficient evidence to conclude that the mean number of customers bumped by the 4 packages are all the same.
C) there is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same.
D) there is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are all the same.

Question 20

The degrees of freedom for the F test in a one-way ANOVA are

A) (n - c) and (c - 1).
B) (c - 1) and (n - c).
C) (c - n) and (n - 1).
D) (n - 1) and (c - n).

Question 21

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, the within group mean squares is

A) 0.0985.
B) 0.2910.
C) 1.0606.
D) 1.1825.

Question 22

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, the p-value of the test statistic for Levene's test for homogeneity of variances is

A) 0.25.
B) 0.64.
C) 0.86.
D) 3.49.

Question 23

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the among group variation or SSA is ________.

Question 24

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, what should be the conclusion for the Levene's test for homogeneity of variances at a 5% level of significance?

A) There is insufficient evidence that the variances are all the same.
B) There is sufficient evidence that the variances are all the same.
C) There is insufficient evidence that the variances are not all the same.
D) There is sufficient evidence that the variances are not all the same.

Question 25

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, construct the ANOVA table from the sample data.

Question 26

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, what should be the decision for the Levene's test for homogeneity of variances at a 5% level of significance?

A) Reject the null hypothesis because the p-value is smaller than the level of significance.
B) Reject the null hypothesis because the p-value is larger than the level of significance.
C) Do not reject the null hypothesis because the p-value is smaller than the level of significance.
D) Do not reject the null hypothesis because the p-value is larger than the level of significance.

Question 27

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the test is valid only if the population of speeds has the same variance for the 4 brands.

Question 28

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2,

A) at the 0.05 level of significance, the mean ratios for the 4 neighborhoods are not all the same.
B) at the 0.01 level of significance, the mean ratios for the 4 neighborhoods are all the same.
C) at the 0.10 level of significance, the mean ratios for the 4 neighborhoods are not significantly different.
D) at the 0.05 level of significance, the mean ratios for the 4 neighborhoods are not significantly different from 0.

Question 29

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the null hypothesis should be rejected at a 5% level of significance.

Question 30

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the sporting goods retailer decided to perform an ANOVA F test. The amount of total variation or SST is ________.

Question 31

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, the critical value of Levene's test for homogeneity of variances at a 5% level of significance is

A) 0.64.
B) 2.48.
C) 3.29.
D) 3.49.

Question 32

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, the null hypothesis for Levene's test for homogeneity of variances is

A) H₀: μA = μB = μC = μD.
B) H₀: MA = MB = MC = MD.
C)
D) H₀: πA = πB = πC = πD.

Question 33

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, the numerator and denominator degrees of freedom for Levene's test for homogeneity of variances at a 5% level of significance are, respectively,

A) 3, 12.
B) 12, 3.
C) 3, 15.
D) 15, 3.

Question 34

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the within group variation or SSW is ________.

Question 35

TABLE 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
Referring to Table 11-2, the value of the test statistic for Levene's test for homogeneity of variances is

A) 0.25.
B) 0.37.
C) 4.36.
D) 10.76.

Question 36

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the value of MSA is ________, while MSW is ________.

Question 37

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the test is less sensitive to the assumption that the population of speeds has the same variance for the 4 brands because the sample sizes of the 4 brands are equal.

Question 38

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, in testing the null hypothesis that the mean downhill coasting speeds of the 4 brands of bicycles are equal, the value of the test statistic is ________.

Question 39

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the null hypothesis that the mean downhill coasting speeds of the 4 brands of bicycles are equal will be rejected at a level of significance of 0.05 if the value of the test statistic is greater than ________.

Question 40

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the decision made implies that all 4 means are significantly different.

Question 41

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, using an overall level of significance of 0.05, the critical range for the Tukey-Kramer procedure is ________.

Question 42

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the agronomist decided to perform an ANOVA F test. The amount of total variation or SST is ________.

Question 43

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the null hypothesis for Levene's test for homogeneity of variances is

A) H₀: μA = μB = μC = μD.
B) H₀: MA = MB = MC = MD.
C)
D) H₀: πA = πB = πC = πD.

Question 44

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the among-group variation or SSA is ________.

Question 45

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the sporting goods retailer decided to compare the 4 treatment means by using the Tukey-Kramer procedure with an overall level of significance of 0.05. There are ________ pairwise comparisons that can be made.

Question 46

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, based on the Tukey-Kramer procedure with an overall level of significance of 0.05, the retailer would decide that there is no significant difference between any pair of mean speeds.

Question 47

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, what are the numerator and denominator degrees of freedom for Levene's test for homogeneity of variances respectively?

Question 48

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, what should be the conclusion for the Levene's test for homogeneity of variances at a 5% level of significance?

A) There is insufficient evidence that the variances are all the same.
B) There is sufficient evidence that the variances are all the same.
C) There is insufficient evidence that the variances are not all the same.
D) There is sufficient evidence that the variances are not all the same.

Question 49

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, what is the p-value of the test statistic for Levene's test for homogeneity of variances?

Question 50

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, based on the Tukey-Kramer procedure with an overall level of significance of 0.05, the retailer would decide that there is a significant difference between all pairs of mean speeds.

Question 51

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, based on the Tukey-Kramer procedure with an overall level of significance of 0.05, the retailer would decide that the mean speed for the Tornado brand is significantly different from each of the mean speeds for other brands.

Question 52

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the test is robust to the violation of the assumption that the population of speeds is normally distributed.

Question 53

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, what is the value of the test statistic for Levene's test for homogeneity of variances?

Question 54

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, what is the critical value of Levene's test for homogeneity of variances at a 5% level of significance?

Question 55

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the within-group variation or SSW is ________.

Question 56

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the value of MSA is ________, while MSW is ________.

Question 57

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, the test is valid only if the population of speeds is normally distributed.

Question 58

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, what should be the decision for the Levene's test for homogeneity of variances at a 5% level of significance?

A) Reject the null hypothesis because the p-value is smaller than the level of significance.
B) Reject the null hypothesis because the p-value is larger than the level of significance.
C) Do not reject the null hypothesis because the p-value is smaller than the level of significance.
D) Do not reject the null hypothesis because the p-value is larger than the level of significance.

Question 59

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, using an overall level of significance of 0.05, the critical value of the Studentized range Q used in calculating the critical range for the Tukey-Kramer procedure is ________.

Question 60

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
Referring to Table 11-3, based on the Tukey-Kramer procedure with an overall level of significance of 0.05, the retailer would decide that the 3 means other than the mean for Tornado are not significantly different from each other.

Question 61

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, based on the Tukey-Kramer procedure with an overall level of significance of 0.01, the agronomist would decide that there is a significant difference between the crop yield of Walsh and Trevor seeds.

Question 62

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, using an overall level of significance of 0.01, the critical value of the Studentized range Q used in calculating the critical range for the Tukey-Kramer procedure is ________.

Question 63

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the decision made at 0.005 level of significance implies that all 3 means are significantly different.

Question 64

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, based on the Tukey-Kramer procedure with an overall level of significance of 0.01, the agronomist would decide that there is a significant difference between the crop yield of Smith and Walsh seeds.

Question 65

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, construct the ANOVA table from the sample data.

Question 66

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, using an overall level of significance of 0.01, the critical range for the Tukey-Kramer procedure is ________.

Question 67

TABLE 11-5
A hotel chain has identically sized resorts in 5 locations. The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations.
Referring to Table 11-5, the within-group variation or SSW is ________.

Question 68

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the test is valid only if the population of crop yields is normally distributed for the 3 varieties.

Question 69

TABLE 11-5
A hotel chain has identically sized resorts in 5 locations. The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations.
Referring to Table 11-5, the among-group variation or SSA is ________.

Question 70

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the value of the test statistic is ________.

Question 71

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the agronomist decided to compare the 3 treatment means by using the Tukey-Kramer procedure with an overall level of significance of 0.01. There are ________ pairwise comparisons that can be made.

Question 72

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the test is valid only if the population of crop yields has the same variance for the 3 varieties.

Question 73

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the null hypothesis will be rejected at a level of significance of 0.01 if the value of the test statistic is greater than ________.

Question 74

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, based on the Tukey-Kramer procedure with an overall level of significance of 0.01, the agronomist would decide that there is a significant difference between the crop yield of Smith and Trevor seeds.

Question 75

TABLE 11-5
A hotel chain has identically sized resorts in 5 locations. The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations.
Referring to Table 11-5, if a level of significance of 0.05 is chosen, the decision made indicates that at least 2 of the 5 locations have different mean occupancy rates.

Question 76

TABLE 11-5
A hotel chain has identically sized resorts in 5 locations. The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations.
Referring to Table 11-5, the total variation or SST is ________.

Question 77

TABLE 11-5
A hotel chain has identically sized resorts in 5 locations. The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations.
Referring to Table 11-5, if a level of significance of 0.05 is chosen, the null hypothesis should be rejected.

Question 78

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, state the null hypothesis that can be tested.

Question 79

TABLE 11-4
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
Trial Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
Referring to Table 11-4, the null hypothesis should be rejected at 0.005 level of significance.

Question 80

TABLE 11-5
A hotel chain has identically sized resorts in 5 locations. The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations.
Referring to Table 11-5, if a level of significance of 0.05 is chosen, the decision made indicates that all 5 locations have different mean occupancy rates.