**Analysis of Variance and Design of Experiments True/False & Multiple Choice**

Analysis of Variance and Design of Experiments

True/False

1. In experimental design, classification variables are independent variables.

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

Learning Objective: 11.1: Describe an experimental design and its elements, including independent variables—both treatment and classification—and dependent variables.

2. In an experimental design, treatment variables are response variables.

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

Learning Objective: 11.1: Describe an experimental design and its elements, including independent variables—both treatment and classification—and dependent variables.

3. In experimental design, a characteristic of the subjects that was present prior to the experiment and is not the result of the experimenter’s manipulations or control is called a classification variable.

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

Learning Objective: 11.1: Describe an experimental design and its elements, including independent variables—both treatment and classification—and dependent variables.

4. In experimental design, a variable that the experimenter controls or modifies in the experiment is called a treatment variable.

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

5. An experimental design contains only independent variables.

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

6. Analysis of variance may be used to test the differences in the means of more than two independent populations.

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA) Difficulty: Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

7. In analysis of variance tests a F distribution forms the basis for making the decisions.

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA) Difficulty: Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

8. The statistical methods of analysis of variance assume that the populations are normally distributed.

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA) Difficulty: Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

9. The statistical methods of analysis of variance assume equal sample means.

Ans:

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

10. Determining the table value for the F distribution requires two values for degrees of freedom.

Ans:

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

11. The Tukey-Kramer procedure is based on construction of confidence intervals for each pair of treatment means at a time.

Ans:

Response: See section 11.3 Multiple Comparison Tests

Difficulty: Medium

Learning Objective: 11.3: Use multiple comparison techniques, including Tukey’s honestly significant difference test and the Tukey-Kramer procedure, to test the difference in two treatment means when there is overall significant difference between treatments.

12. The Tukey-Kramer procedure allows us to simultaneously examine all pairs of population means after the ANOVA test has been completed without increasing the true α level.

Ans:

Response: See section 11.3 Multiple Comparison Tests

Difficulty: Medium

Learning Objective: 11.3: Use multiple comparison techniques, including Tukey’s honestly significant difference test and the Tukey-Kramer procedure, to test the difference in two treatment means when there is overall significant difference between treatments.

13. A completely randomized design has been analyzed by using a one-way ANOVA. There are three treatment groups in the design, and each sample size is four. The mean for group 1 is 25.00 and for group 3 it is 27.50. MSE is 3.19. Using α=0.05 there is a significant difference between these two groups.

Ans:

Response: See section 11.3 Multiple Comparison Tests

Difficulty: Hard

Learning Objective: 11.3: Use multiple comparison techniques, including Tukey’s honestly significant difference test and the Tukey-Kramer procedure, to test the difference in two treatment means when there is overall significant difference between treatments.

14. In a randomized complete block design the conclusion might be that blocking is not necessary.

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

Learning Objective: 11.4: Test a randomized block design which includes a blocking variable to control for confounding variables.

15. The F value for treatment will always increase if we include a blocking effect.

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

Learning Objective: 11.4: Test a randomized block design which includes a blocking variable to control for confounding variables.

16. Interaction effects in a factorial design can be analyzed in randomized block design.

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.5: Test a factorial design using a two-way analysis of variance, noting the advantages and applications of such a design and accounting for possible interaction between two treatment variables.

Multiple Choice

17. Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine effective advertisement strategies for increasing the number of reservations. The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website, a travel magazine and a local billboard. Customers making reservations will be asked if they saw the advertisement. In this experiment, the dependent variable is ________________.

a. advertisement venue

b. bed and breakfast establishment

c. travel website

d. number of reservations

e. number of customer calls

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

Learning Objective: 11.1: Describe an experimental design and its elements, including independent variables – both treatment and classification – and dependent variables.

18. Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine effective advertisement strategies for increasing the number of reservations. The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website, a travel magazine and a local billboard. Customers making reservations will be asked if they saw the advertisement. In this experiment, the independent variable is ________________.

a. advertisement venue

b. bed and breakfast establishment

c. travel website

d. number of reservations

e. number of customer calls

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

Learning Objective: 11.1: Describe an experimental design and its elements, including independent variables – both treatment and classification – and dependent variables.

19. Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine effective advertisement strategies for increasing the number of reservations. The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website, a travel magazine and a local billboard. Customers making reservations will be asked if they saw the advertisement. In this experiment, the independent variable has how many levels?

a. 1

b. 2

c. 3

d. 4

e. 0

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

Learning Objective: 11.1: Describe an experimental design and its elements, including independent variables – both treatment and classification – and dependent variables.

20. Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine effective advertisement strategies for increasing the number of reservations. The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website, a travel magazine and a local billboard. Customers making reservations will be asked if they saw the advertisement. In this experiment, the independent variable is a ________________.

a. treatment variable

b. classification variable

c. experimental variable

d. design variable

e. research variable

Ans:

Response: See section 11.1 Introduction to Design of Experiments

Difficulty: Easy

21. Medical Wonders is a specialized interior design company focused on healing artwork. The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay. Her current client is a children’s cancer hospital. Kathleen is interested in determining the effect of three different pieces of healing artwork on children. She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene) and randomly assigns six hospital rooms to each painting. Kathleen's experimental design is a ________.

a) factorial design

b) random block design

c) normalized block design

d) completely randomized design

e) fractional design

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA) Difficulty: Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

22. Medical Wonders is a specialized interior design company focused on healing artwork. The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay. Her current client is a children’s cancer hospital. Kathleen is interested in determining the effect of three different pieces of healing artwork on children. She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene) and randomly assigns six hospital rooms to each painting. In Kathleen's experimental design "painting style" is _______.

a) the dependent variable

b) a concomitant variable

c) a treatment variable

d) a blocking variable

e) a response variable

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA) Difficulty: Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

23. Medical Wonders is a specialized interior design company focused on healing artwork. The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay. Her current client is a children’s cancer hospital. Kathleen is interested in determining the effect of three different pieces of healing artwork on children. She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene) and randomly assigns six hospital rooms to each painting. In Kathleen's experimental design "reduced length of stay" is _______.

a) the dependent variable

b) a concomitant variable

c) a treatment variable

d) a blocking variable

e) a constant

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA) Difficulty: Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

24. Medical Wonders is a specialized interior design company focused on healing artwork. The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay. Her current client is a children’s cancer hospital. Kathleen is interested in determining the effect of three different pieces of healing artwork on children. She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene) and randomly assigns six hospital rooms to each painting. Kathleen's null hypothesis is _____________.

a) 1 2 3

b) 1 2 3

c) 1 2 3

d) 1 2 3

e) 1 2 ≥ 3

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

25. Medical Wonders is a specialized interior design company focused on healing artwork. The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay. Her current client is a children’s cancer hospital. Kathleen is interested in determining the effect of three different pieces of healing artwork on children. She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene) and randomly assigns six hospital rooms to each painting. Analysis of Kathleen's data yielded the following ANOVA table.

Source of Variation SS df MS F

Treatment 33476.19 2 16738.1 9.457912

Error 26546.18 15 1769.745

Total 60022.37 17

Using = 0.05, the critical F value is _____________.

a) 13.68

b) 19.43

c) 3.59

d) 19.45

e) 3.68

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

26. Medical Wonders is a specialized interior design company focused on healing artwork. The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay. Her current client is a children’s cancer hospital. Kathleen is interested in determining the effect of three different pieces of healing artwork on children. She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene) and randomly assigns six hospital rooms to each painting. Analysis of Kathleen's data yielded the following ANOVA table.

Source of Variation SS df MS F

Treatment 33476.19 2 16738.1 9.457912

Error 26546.18 15 1769.745

Total 60022.37 17

Using = 0.05, the observed F value is _____________.

a) 16738.1

b) 1769.75

c) 33476.19

d) 26546.18

e) 9.457912

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

27. Medical Wonders is a specialized interior design company focused on healing artwork. The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay. Her current client is a children’s cancer hospital. Kathleen is interested in determining the effect of three different pieces of healing artwork on children. She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene) and randomly assigns six hospital rooms to each painting. Analysis of Kathleen's data yielded the following ANOVA table.

Source of Variation SS df MS F

Treatment 33476.19 2 16738.1 9.457912

Error 26546.18 15 1769.745

Total 60022.37 17

Using = 0.05, the appropriate decision is _____________.

a) reject the null hypothesis 1 2 3

b) reject the null hypothesis 1 2 3

c) do not reject the null hypothesis 1 2 3

d) do not reject the null hypothesis 1 2 3

e) inconclusive

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

28. Pate's Pharmacy, Inc. operates a regional chain of 120 pharmacies. Each pharmacy's floor plan includes a greeting card department which is relatively isolated. Sandra Royo, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department. She chooses three levels of lighting (soft, medium, and bright) and randomly assigns six pharmacies to each lighting level. Analysis of Sandra's data yielded the following ANOVA table.

Source of Variation SS df MS F

Treatment 3608.333 2 1804.167

Error 13591.67 15 906.1111

Total 17200 17

Using = 0.05, the critical F value is _____________.

a) 13.68

b) 19.43

c) 3.59

d) 19.45

e) 3.68

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

29. Pate's Pharmacy, Inc. operates a regional chain of 120 pharmacies. Each pharmacy's floor plan includes a greeting card department which is relatively isolated. Sandra Royo, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department. She chooses three levels of lighting (soft, medium, and bright) and randomly assigns six pharmacies to each lighting level. Analysis of Sandra's data yielded the following ANOVA table.

Source of Variation SS df MS F

Treatment 3608.333 2 1804.167

Error 13591.67 15 906.1111

Total 17200 17

Using = 0.05, the observed F value is _____________.

a) 0.5022

b) 0.1333

c) 1.9911

d) 7.5000

e) 1.000

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

30. Pate's Pharmacy, Inc. operates a regional chain of 120 pharmacies. Each pharmacy's floor plan includes a greeting card department which is relatively isolated. Sandra Royo, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department. She chooses three levels of lighting (soft, medium, and bright) and randomly assigns six pharmacies to each lighting level. Analysis of Sandra's data yielded the following ANOVA table.

Source of Variation SS df MS F

Treatment 3608.333 2 1804.167

Error 13591.67 15 906.1111

Total 17200 17

Using = 0.05, the appropriate decision is _____________.

a) do not reject the null hypothesis 1 2 3

b) do not reject the null hypothesis 1 2 3

c) reject the null hypothesis 1 2 3

d) reject the null hypothesis 1 2 3

e) inclusive

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

31. BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. Kevin's experimental design is a ________.

a) factorial design

b) random block design

c) completely randomized design

d) normalized block design

e) partially randomized design

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

32. BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. Kevin's null hypothesis is _____________.

a) 1 2 3

b) 1 2 3

c) 1 2 3

d) 1 2 3

e) 1 2 ≥ 3

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

33. BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. Analysis of Kevin's data yielded the following ANOVA table.

Source of Variation SS df MS F

Between Groups 68102.33 2 34051.17 17.50543

Within Groups 29177.67 15 1945.178

Total 97280 17

Using = 0.05, the appropriate decision is _____________.

a) inconclusive

b) reject the null hypothesis 1 2 3

c) reject the null hypothesis 1 2 3

d) do not reject the null hypothesis 1 2 3

e) do not reject the null hypothesis 1 2 3

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

34. BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. Analysis of Kevin's data yielded the following ANOVA table.

Source of Variation SS df MS F

Between Groups 68102.33 2 34051.17

Within Groups 29177.67 15 1945.178

Total 97280 17

Using = 0.05, the critical F value is _____________.

a) 3.57

b) 19.43

c) 3.68

d) 19.45

e) 2.85

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

35. BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. Analysis of Kevin's data yielded the following ANOVA table.

Source of Variation SS df MS F

Between Groups 68102.33 2 34051.17

Within Groups 29177.67 15 1945.178

Total 97280 17

Using = 0.05, the observed F value is _____________.

a) 0.5022

b) 0.1333

c) 1.9911

d) 17.5100

e) 22.4567

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

36. BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. Analysis of Kevin's data yielded the following ANOVA table.

Source of Variation SS df MS F

Between Groups 384.3333 2 192.1667

Within Groups 1359.667 15 90.64444

Total 1744 17

Using = 0.05, the appropriate decision is _____________.

a) do not reject the null hypothesis 1 2 3

b) do not reject the null hypothesis 1 2 3

c) reject the null hypothesis 1 2 3

d) reject the null hypothesis 1 2 3

e) do nothing

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

37. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. Cindy's experimental design is a ________.

a) factorial design

b) random block design

c) completely randomized design

d) normalized block design

e) incomplete block design

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

38. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. In Cindy's experiment, "average collection period" is ________.

a) the dependent variable

b) a treatment variable

c) a blocking variable

d) a concomitant variable

e) a constant

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

39. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. In Cindy's experiment, "sales discount rate" is ______.

a) the dependent variable

b) a treatment variable

c) a blocking variable

d) a concomitant variable

e) a constant

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

40. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. Cindy's null hypothesis is ______.

a) 1 2 3 4 5

b) 1 2 3 4 5

c) 1 2 3 4

d) 1 2 3 4

e) 1 ≠ 2 3 4

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

41. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. An analysis of Cindy's data produced the following ANOVA table.

Source of Variation SS df MS F

Treatment 1844.2 3 614.7333 7.568277

Error 1299.6 16 81.225

Total 3143.8 19

Using = 0.01, the appropriate decision is _________.

a) reject the null hypothesis

b) reject the null hypothesis 1 2 3 4

c) do not reject the null hypothesis

d) do not reject the null hypothesis 1 2 3 4 5

e) do nothing

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

42. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. An analysis of Cindy's data produced the following ANOVA table.

Source of Variation SS df MS F

Treatment 5.35 3 1.783333

Error 177.2 16 11.075

Total 182.55 19

Using = 0.01, the critical F value is _________.

a) 5.33

b) 6.21

c) 0.16

d) 5.29

e) 6.89

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

43. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. An analysis of Cindy's data produced the following ANOVA table.

Source of Variation SS df MS F

Treatment 5.35 3 1.783333

Error 177.2 16 11.075

Total 182.55 19

Using = 0.01, the observed F value is _________.

a) 6.2102

b) 0.1610

c) 0.1875

d) 5.3333

e) 4.9873

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

44. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. An analysis of Cindy's data produced the following ANOVA table.

Source of Variation SS df MS F

Treatment 5.35 3 1.783333

Error 177.2 16 11.075

Total 182.55 19

Using = 0.01, the appropriate decision is _________.

a) reject the null hypothesis

b) reject the null hypothesis 1 2 3 4

c) do not reject the null hypothesis

d) do not reject the null hypothesis 1 2 3 4

e) do nothing

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

45. Suppose a researcher sets up a design in which there are five different treatments and a total of 32 measurements in the study. For alpha = .01, the critical table F value is ____.

a) 3.75

b) 3.78

c) 4.07

d) 4.11

e) 4.91

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

46. Data from a completely randomized design are shown in the following table.

Treatment Level

1 2 3

27 26 27

26 22 29

23 21 27

24 23 26

For a one-way ANOVA, the Total Sum of Squares (SST) is ________.

a) 36.17

b) 28.75

c) 64.92

d) 18.03

e) 28.04

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

47. Data from a completely randomized design are shown in the following table.

Treatment Level

1 2 3

27 26 27

26 22 29

23 21 27

24 23 26

For a one-way ANOVA, the Between Sum of Squares (SSC is ________.

a) 36.17

b) 28.75

c) 64.92

d) 18.03

e) 28.04

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

48. Data from a completely randomized design are shown in the following table.

Treatment Level

1 2 3

27 26 27

26 22 29

23 21 27

24 23 26

For a one-way ANOVA, the Error Sum of Squares (SSE) is ________.

a) 36.17

b) 28.75

c) 64.92

d) 18.03

e) 28.04

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

49. Data from a completely randomized design are shown in the following table.

Treatment Level

1 2 3

27 26 27

26 22 29

23 21 27

24 23 26

For a one-way ANOVA using = 0.05, the critical F value is ________.

a) 3.86

b) 3.59

c) 19.38

d) 4.26

e) 6.8

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

50. Data from a completely randomized design are shown in the following table.

Treatment Level

1 2 3

27 26 27

26 22 29

23 21 27

24 23 26

For a one-way ANOVA using = 0.05, the observed F value is ________.

a) 5.66

b) 3.19

c) 18.08

d) 4.34

e) 8.98

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

51. Data from a completely randomized design are shown in the following table.

Treatment Level

1 2 3

27 26 27

26 22 29

23 21 27

24 23 26

For a one-way ANOVA using = 0.05, the appropriate decision is ________.

a) do not reject the null hypothesis 1 2 3

b) do not reject the null hypothesis 1 2 3

c) reject the null hypothesis

d) reject the null hypothesis 1 2 3

e) do not reject the null hypothesis 1 2 3

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

52. For the following ANOVA table, the dfTreatment value is ___________.

Source of Variation SS df MS F

Treatment 150

Error 40 20

Total 23

a) 3

b) 43

c) 1.15

d) 460

e) 150

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

53. For the following ANOVA table, the MS Treatment value is ___________.

Source of Variation SS df MS F

Treatment 150

Error 40 20

Total 23

a) 150

b) 50

c) 450

d) 3.49

e) 40

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

54. For the following ANOVA table, the MS Error value is ___________.

Source of Variation SS df MS F

Treatment 150

Error 40 20

Total 23

a) 20

b) 60

c) 800

d) 2

e) 200

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

55. For the following ANOVA table, the observed F value is ___________.

Source of Variation SS df MS F

Treatment 150

Error 40 20

Total 23

a) 0.5625

b) 50

c) 25

d) 0.02

e) 0.09

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

56. For the following ANOVA table, the dfError value is ___________.

Source of Variation SS df MS F

Treatment 4

Error 360

Total 440 16

a) 4

b) 20

c) 12

d) 64

e) 16

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

57. For the following ANOVA table, the MS Treatment value is ___________.

Source of Variation SS df MS F

Treatment 4

Error 360

Total 440 16

a) 20

b) 200

c) 76

d) 84

e) 360

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

58. For the following ANOVA table, the MS Error value is ___________.

Source of Variation SS df MS F

Treatment 4

Error 360

Total 440 16

a) 4,320

b) 372

c) 348

d) 30

e) 4

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

59. For the following ANOVA table, the observed F value is ___________.

Source of Variation SS df MS F

Treatment 4

Error 360

Total 440 16

a) 0.67

b) 1.50

c) 6.00

d) 5.00

e) 4.00

Ans:

Response: See section 11.2 The Completely Randomized Design (One-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.2: Test a completely randomized design using a one-way analysis of variance.

60. For the following ANOVA table, the critical value of the studentized range distribution using = 0.05 is ______

Source of Variation SS df MS F

Treatment 36.17 2 18.08 5.66

Error 28.75 9 3.19

Total 64.92 11

a) 1.86

b) 3.94

c) 9.17

d) 1.65

e) 1.79

Ans:

Response: See section 11.3 Multiple Comparison Tests

Difficulty: Medium

Learning Objective: 11.3: Use multiple comparison techniques, including Tukey’s honestly significant difference test and the Tukey-Kramer procedure, to test the difference in two treatment means when there is overall significant difference between treatments

61. For the following ANOVA table, the HSD value, assuming equal sample sizes and using = 0.05 is ______

Source of Variation SS df MS F

Treatment 36.17 2 18.08 5.66

Error 28.75 9 3.19

Total 64.92 11

a) 1.86

b) 3.94

c) 3.19

d) 1.645

e) 3.52

Ans:

Response: See section 11.3 Multiple Comparison Tests

Difficulty: Medium

Learning Objective: 11.3: Use multiple comparison techniques, including Tukey’s honestly significant difference test and the Tukey-Kramer procedure, to test the difference in two treatment means when there is overall significant difference between treatments

62. For the following ANOVA table, the critical value of the studentized range distribution using = 0.01 is ______

Source of Variation SS df MS F

Treatment 0.1233 2 0.06165 1.566311

Error 0.5904 15 0.03936

Total 0.7137 17

a) 3.01

b) 3.67

c) 4.17

d) 4.84

e) 5.25

Ans:

Response: See section 11.3 Multiple Comparison Tests

Difficulty: Medium

Learning Objective: 11.3: Use multiple comparison techniques, including Tukey’s honestly significant difference test and the Tukey-Kramer procedure, to test the difference in two treatment means when there is overall significant difference between treatments

63. For the following ANOVA table, the HSD value, assume equal sample sizes and using = 0.01 is ______

Source of Variation SS df MS F

Treatment 0.1233 2 0.06165 1.566311

Error 0.5904 15 0.03936

Total 0.7137 17

a) 0.81

b) 0.55

c) 0.48

d) 0.43

e) 0.68

Ans:

Response: See section 11.3 Multiple Comparison Tests

Difficulty: Medium

64. BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. In Kevin's experiment "sales at a Web site" is _______.

a) a blocking variable

b) a concomitant variable

c) a treatment variable

d) the dependent variable

e) the independent variable

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Medium

Learning Objective: 11.4: Test a randomized block design which includes a blocking variable to control for confounding variables.

65. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). Cindy wants to control for the size of the customer but not to test for it as the main variable of interest so she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. Cindy's experimental design is a ________.

a) normalized block design

b) completely randomized design

c) factorial design

d) random block design

e) partially randomized design

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

66. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). First, she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. In Cindy's experiment "average collection period" is ________.

a) a concomitant variable

b) the dependent variable

c) a treatment variable

d) a blocking variable

e) a constant

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

67. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). Cindy wants to control for the size of the customer but not to test for it as the main variable of interest so she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. In Cindy's experiment "total asset size of credit customer" is ________.

a) a surrogate variable

b) the dependent variable

c) a blocking variable

d) a treatment variable

e) a constant

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

68. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). First, she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. In Cindy's experiment "sales discount rate" is ________.

a) a surrogate variable

b) the dependent variable

c) a blocking variable

d) a treatment variable

e) a constant

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

69. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). First, she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. Cindy's null hypothesis is ________.

a) 1 2 3 4

b) 1 2 3 4

c)

d) 1 2 3 4

e) 1 2 ≥ 3 4

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

70. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). First, she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. An analysis of Cindy's data yielded the following ANOVA table.

Source of Variation SS df MS F

Treatment 64.91667 3 21.63889 8.752809

Block 10.5 2 5.25 2.123596

Error 14.83333 6 2.472222

Total 90.25 11

Using = 0.05, the appropriate decision for treatment effects is ________.

a) reject the null hypothesis

b) reject the null hypothesis 1 2 3 4

c) do not reject the null hypothesis 1 2 3 4

d) do not reject the null hypothesis 1 2 3 4

e) do nothing

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Medium

71. Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%). First, she classified DCI's credit customers into three categories by total assets (small, medium, and large). Then, she randomly assigned four customers from each category to a sales discount rate. An analysis of Cindy's data yielded the following ANOVA table.

Source of Variation SS df MS F

Treatment 64.91667 3 21.63889 8.752809

Block 10.5 2 5.25 2.123596

Error 14.83333 6 2.472222

Total 90.25 11

Using = 0.05, the appropriate decision for block effects is ________.

a) do not reject the null hypothesis 1 2 3

b) do not reject the null hypothesis

c) reject the null hypothesis 1 2 3

d) reject the null hypothesis 1 2 3

e) do nothing

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Medium

72. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

The Total Sum of Squares (SST) is ________.

a) 4.67

b) 12

c) 2.33

d) 28.67

e) 11

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Medium

73. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

The Treatment Sum of Squares (SSB) is ________.

a) 4.67

b) 12

c) 2.33

d) 28.67

e) 11

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Medium

74. Data from a randomized block design are shown in the following table

.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

The Blocks Sum of Squares (SSR) is ________.

a) 4.67

b) 12

c) 2.33

d) 28.67

e) 11

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Medium

75. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

The Error Sum of Squares (SSE) is ________.

a) 4.67

b) 12

c) 2.33

d) 28.67

e) 11

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Medium

76. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

Using = 0.05, the critical F value for the treatments null hypothesis is ________.

a) 3.59

b) 4.76

c) 3.98

d) 5.14

e) 9.89

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

77. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

Using = 0.05, the observed F value for the treatments null hypothesis is _____.

a) 5.14

b) 0.37

c) 1.17

d) 0.22

e) 2.00

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Hard

78. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

Using = 0.05, the appropriate decision for the treatments is ________.

a) do not reject the null hypothesis 1 = 2 = 3

b) do not reject the null hypothesis 1 4

c) do not reject the null hypothesis 1 2 3 4

d) do not reject the null hypothesis 1 2 3

e) do nothing

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Hard

79. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

Using = 0.05, the critical F value for the blocking effects null hypothesis is ___.

a) 3.59

b) 4.76

c) 3.98

d) 5.14

e) 6.54

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Easy

80. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

With = 0.05, the observed F value for the blocking effects null hypothesis is__.

a) 0.37

b) 5.14

c) 1.17

d) 2.33

e) 2.00

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Hard

81. Data from a randomized block design are shown in the following table.

Treatment Levels

1 2 3 4

Block 1 8 5 10 7

Block 2 6 6 9 5

Block 3 7 8 8 9

Using = 0.05, the appropriate decision for the blocking effects is ________.

a) reject the null hypothesis 1 2 3

b) do not reject the null hypothesis 1 2 3

c) do not reject the null hypothesis

d) reject the null hypothesis 1 2 3

e) do nothing

Ans:

Response: See section 11.4 The Randomized Block Design

Difficulty: Hard

82. While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. Colin's experimental design is _____________.

a) random block design

b) normalized block design

c) completely randomized design

d) factorial design

e) fractional design

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.5: Test a factorial design using a two-way analysis of variance, noting the advantages and applications of such a design and accounting for possible interaction between two treatment variables.

83. While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. In Colin's experiment, "operator productivity" is _____________.

a) a concomitant variable

b) a treatment variable

c) the dependent variable

d) a blocking variable

e) a constant

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Medium

Learning Objective: 11.5: Test a factorial design using a two-way analysis of variance, noting the advantages and applications of such a design and accounting for possible interaction between two treatment variables.

84. While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. In Colin's experiment, "training method" is _____________.

a) a treatment variable

b) a surrogate variable

c) the dependent variable

d) a blocking variable

e) a constant

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Medium

85. While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. In Colin's experiment, "supervisor's style" is _____________.

a) the dependent variable

b) a blocking variable

c) a treatment variable

d) a surrogate variable

e) a constant

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Medium

86. While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. Colin's null hypothesis for training methods is _____________.

a)

b) 1 2 3

c) 1 2 3

d) 1 2 3

e) 1 2 ≥ 3

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Easy

87. While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. Analysis of Colin's data produced the following ANOVA table.

Source of Variation SS df MS F

Rows (supervisor's style) 410.8889 1 410.8889 45.09756

Column (training method) 120.7778 2 60.38889 6.628049

Interaction 2.111111 2 1.055556 0.115854

Within 109.3333 12 9.111111

Total 643.1111 17

Using = .05, the appropriate decision for "training method" effects is _____________.

a) reject the null hypothesis 1 3

b) reject the null hypothesis 1 2 3

c) do not reject the null hypothesis 1 2

d) do not reject the null hypothesis 1 2

e) do nothing

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Medium

88. While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. Analysis of Colin's data produced the following ANOVA table.

Source of Variation SS df MS F

Rows (supervisor's style) 410.8889 1 410.8889 45.09756

Column (training method) 120.7778 2 60.38889 6.628049

Interaction 2.111111 2 1.055556 0.115854

Within 109.3333 12 9.111111

Total 643.1111 17

Using = .05, the appropriate decision for "supervisor's style" effects is _____________.

a) reject the null hypothesis 1 3

b) do not reject the null hypothesis 1 3

c) reject the null hypothesis 1 2

d) do not reject the null hypothesis 1 = 2

e) do nothing

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Medium

89. BigShots, Inc. is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog Web sites to each design style. In Kevin’s experiment "style" is _______.

a) the dependent variable

b) a treatment variable

c) a concomitant variable

d) a blocking variable

e) a response variable

Ans:

Response: See section 11.5 A Factorial Design (Two-Way ANOVA)

Difficulty: Easy

Learning Objective: 11.5: Test a factorial design using a two-way analysis of variance, noting the advantages and applications of such a design and accounting for possible interaction between two treatment variables. 58. The following graph indicates a _______________.

a) 2 4 factorial design with interaction

b) 4 2 factorial design with no interaction

c) 4 2 factorial design with interaction

d) 2 4 factorial design with no interaction

e) randomized block design

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Easy

90. The following graph indicates a _______________.

a) 2 3 factorial design with interaction

b) 2 4 factorial design with interaction

c) 4 2 factorial design with interaction

d) 4 2 factorial design with no interaction

e) completely randomized design

Ans:

Response: See section 11.5 Factorial Design (Two-Way ANOVA)

Difficulty: Easy

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