ch11

CHAPTER ELEVEN

Analysis of Variance and Design of ExperimentsB 1. If a researcher wants to conduct a test about the differences in the means for more

than two independent populations, she can use _______.

M A. the related samples t-testTerm B. analysis of variance

C. a confidence intervalD. the multiple population t-test

C 2. Analysis of variance tests use the _______.

E A. t distributionTerm B. normal distribution

C. F distributionD. exponential distribution

347

348 Test Bank

A 3. The statistical methods of analysis of variance assume _____________.

E A. normally distributed populationsTerm B. binomially distributed populations

C. uniformly distributed populationsD. exponentially distributed populations

C 4. The statistical methods of analysis of variance assume _____________.

E A. convenience samplesTerm B. judgment samples

C. random samplesD. quota samples

B 5. The statistical methods of analysis of variance assume ______________.

M A. equal sample meansTerm B. equal population variances

C. equal population proportionsD. equal sample proportions

D 6. In designed experiments for analysis of variance, the dependent variable is also called the _______________.

M A. classification variableTerm B. blocking variable

C. concomitant variableD. response variable

B 7. In designed experiments for analysis of variance, independent variables are also called _____________.

M A. response variablesTerm B. factors

C. cofactorsD. mitigating variables

Chapter 11: Analysis of Variance and Design of Experiments 349

B 8. Determining the table value for the F distribution is different from finding values in the t distribution tables because the F table requires _____ values for degrees of freedom.

E A. oneTerm B. two

C. threeD. more than three

C 9. Suppose the mean squares for treatment in a one-way ANOVA are 24.4 and the mean squares for error are 9.8. There were four treatments and 7 subjects received each treatment (for a total of 28). The calculated value of F is _______.

E A. 9.8Calc B. 34.2

C. 2.49D. 14.6

B 10. Suppose a researcher sets up a completely randomized design in which there are four different treatments and a total of 32 measurements in the study. For alpha = .05, the critical table F value is _______.

E A. 2.92Calc B. 2.95

C. 2.71D. 8.62

D 11. 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. Sandra's experimental design is a ________.

M A. factorial design BApp B. random block design

C. normalized block designD. completely randomized design

350 Test Bank

C 12. 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. In Sandra's experiment "lighting" is _______.

E A. the dependent variableBApp B. a concomitant variable

C. a treatment variableD. a blocking variable

A 13. 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. In Sandra's experiment "sales in the greeting card department" is _______.

E A. the dependent variableBApp B. a concomitant variable


A 14. 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. Sandra's null hypothesis is _____________.

E A. 1 = 2 = 3BApp B. 1 2 3

C. 1 2 3D. 1 2 3


A 15. 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 FTreatment 49411.11 2 24705.56 10.4304

Error 35529.17 15 2368.611Total 84940.28 17

Using = 0.05, the appropriate decision is _____________.

M A. reject the null hypothesis 1 = 2 = 3BApp B. reject the null hypothesis 1 2 3

C. do not reject the null hypothesis 1 2 3D. do not reject the null hypothesis 1 2 3

A 16. 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 FTreatment 3608.333 2 1804.167

Error 13591.67 15 906.1111Total 17200 17

Using = 0.05, the critical F value is _____________.

M A. 3.68BApp B. 19.43

C. 3.59D. 19.45

352 Test Bank

C 17. 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.


Error 13591.67 15 906.1111Total 17200 17

Using = 0.05, the calculated F value is _____________.

M A. 0.5022BApp B. 0.1333

C. 1.9911D. 7.5000

B 18. 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.


Error 13591.67 15 906.1111Total 17200 17


M A. do not reject the null hypothesis 1 2 3BApp B. do not reject the null hypothesis 1 = 2 = 3

C. reject the null hypothesis 1 2 3D. reject the null hypothesis 1 2 3


C 19. 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 ________.


C. completely randomized design D. normalized block design

B 20. 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's experiment "style" is _______.

E A. the dependent variableBApp B. a treatment variable

C. a concomitant variableD. a blocking variable

D 21. 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 _______.

E A. a blocking variableBApp B. a concomitant variable

C. a treatment variableD. the dependent variable

C 22. 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 _____________.

E A. 1 2 3BApp B. 1 2 3

C. 1 = 2 = 3D. 1 2 3

354 Test Bank

B 23. 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 FBetween Groups 68102.33 2 34051.17 17.50543Within Groups 29177.67 15 1945.178Total 97280 17


M A. reject the null hypothesis 1 2 3BApp B. reject the null hypothesis 1 = 2 = 3

C. do not reject the null hypothesis 1 2 3D. do not reject the null hypothesis 1 2 3

C 24. 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 FBetween Groups 68102.33 2 34051.17Within Groups 29177.67 15 1945.178Total 97280 17

Using = 0.05, the critical F value is _____________.

M A. 3.57BApp B. 19.43

C. 3.68D. 19.45


D 25. 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.


Using = 0.05, the calculated F value is _____________.

M A. 0.5022BApp B. 0.1333

C. 1.9911D. 17.5100

A 26. 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.



M A. do not reject the null hypothesis 1 = 2 = 3BApp B. do not reject the null hypothesis 1 2 3


356 Test Bank

C 27. 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 ________.


C. completely randomized designD. normalized block design

A 28. 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 ________.


C. a blocking variableD. a concomitant variable

B 29. 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 ______.


C. a blocking variableD. a concomitant variable


D 30. 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 ______.

E A. 1 = 2 = 3 = 4 = 5BApp B. 1 2 3 4 5

C. 1 2 3 4D. 1 = 2 = 3 = 4

A 31. 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.


Error 1299.6 16 81.225Total 3143.8 19

Using = 0.01, the appropriate decision is _________.

M A. reject the null hypothesis 1 = 2 = 3 = 4BApp B. reject the null hypothesis 1 2 3 4

C. do not reject the null hypothesis 1 = 2 = 3 = 4 = 5D. do not reject the null hypothesis 1 2 3 4 5

358 Test Bank

D 32. 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.


Error 177.2 16 11.075Total 182.55 19

Using = 0.01, the critical F value is _________.

M A. 5.33BApp B. 6.21

C. 0.16D. 5.29

B 33. 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.


Error 177.2 16 11.075Total 182.55 19

Using = 0.01, the calculated F value is _________.

M A. 6.2102BApp B. 0.1610

C. 0.1875D. 5.3333


C 34. 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.


Error 177.2 16 11.075Total 182.55 19

Using = 0.01, the appropriate decision is _________.


C. do not reject the null hypothesis 1 = 2 = 3 = 4 D. do not reject the null hypothesis 1 2 3 4

D 35. 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 _______.

E A. 3.75Calc B. 3.78

C. 4.07D. 4.11

C 36. Data from a completely randomized design are shown in the following table.

Treatment Level1 2 3

27 26 2726 22 2923 21 2724 23 26

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

M A. 36.17Calc B. 28.75

C. 64.92

360 Test Bank

D. 18.03A 37. Data from a completely randomized design are shown in the

following table. Treatment Level

1 2 327 26 2726 22 2923 21 2724 23 26

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

M A. 36.17Calc B. 28.75

C. 64.92D. 18.03

B 38. Data from a completely randomized design are shown in the following table.


27 26 2726 22 2923 21 2724 23 26

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

M A. 36.17Calc B. 28.75

C. 64.92D. 18.03


D 39. Data from a completely randomized design are shown in the following table.


27 26 2726 22 2923 21 2724 23 26

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

E A. 3.86Calc B. 3.59

C. 19.38D. 4.26

A 40. Data from a completely randomized design are shown in the following table.


27 26 2726 22 2923 21 2724 23 26

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

H A. 5.66Calc B. 3.19

C. 18.08D. 4.34

362 Test Bank



27 26 2726 22 2923 21 2724 23 26

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

H A. do not reject the null hypothesis 1 2 3 Calc 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

B 42. Some analytical results for a completely randomized design are shown in the following tables.

Source of Variation SS df MS F Sample nTreatments 43.16667 2 21.58333 10.5 1 4.5 4

Error 18.5 9 2.055556 2 8.75 4Total 61.66667 11 3 8.25 4

Using = 0.01, the calculated Scheffe's F value for samples one and two is ______.

M A. 18.06Calc B. 8.79

C. 6.13D. 3.07


A 43. Some analytical results for a completely randomized design are shown in the following tables.


Error 18.5 9 2.055556 2 8.75 4Total 61.66667 11 3 8.25 4

Using = 0.01, the calculated Scheffe's F value for samples one and three is ______.

M A. 6.84Calc B. 5.33

C. 4.67D. 3.41

D 44. Some analytical results for a completely randomized design are shown in the following tables.


Error 18.5 9 2.055556 2 8.75 4Total 61.66667 11 3 8.25 4

Using = 0.01, the calculated Scheffe's F value for samples two and three is ______.

M A. 11.67Calc B. 4.33

C. 3.50D. 0.12

364 Test Bank

A 45. Some analytical results for a completely randomized design are shown in the following tables.


Error 18.5 9 2.055556 2 8.75 4Total 61.66667 11 3 8.25 4

Using = 0.01, the calculated Tukey's H.S.D. is ______.

M A. 3.15Calc B. 5.25

C. 3.68D. 5.67

D 46. Some analytical results for a completely randomized design are shown in the following tables. Source of Variation SS df MS F Sample n

Treatments 106.1875 3 35.39583 11.40268 1 4.5 4Error 37.25 12 3.104167 2 8.75 4Total 143.4375 15 3 8.28 4

4 11.75 4

Using = 0.01, the calculated Tukey's H.S.D. is ______.

M A. 6.32Calc B. 5.69

C. 4.85D. 4.44




5 4 66 9 34 7 42 6 27 5 5

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

M A. 39.60Calc B. 12.40

C. 52.00D. 6.20



5 4 66 9 34 7 42 6 27 5 5

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

M A. 52.00Calc B. 12.40

C. 3.30D. 1.88

366 Test Bank



5 4 66 9 34 7 42 6 27 5 5

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

M A. 6.20Calc B. 1.88

C. 52.00D. 39.60

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


5 4 66 9 34 7 42 6 27 5 5

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

E A. 3.89Calc B. 4.26

C. 19.41D. 3.68




5 4 66 9 34 7 42 6 27 5 5

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

H A. 3.30Calc B. 6.20

C. 3.89D. 1.88



5 4 66 9 34 7 42 6 27 5 5

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

H A. do not reject the null hypothesis 1 2 3 Calc B. do not reject the null hypothesis 1 = 2 = 3


368 Test Bank

A 53. For the following ANOVA table, the dfTreatment value is ___________.Source of Variation SS df MS F

Treatment 150Error 40 20Total 23

E A. 3Calc B. 43

C. 1.15D. 460

B 54. For the following ANOVA table, the MS Treatment value is ___________.Source of Variation SS df MS F


E A. 150Calc B. 50

C. 450D. 3.49

D 55. For the following ANOVA table, the MS Error value is ___________.Source of Variation SS df MS F


E A. 20Calc B. 60

C. 800D. 2


C 56. For the following ANOVA table, the calculated F value is ___________.Source of Variation SS df MS F


E A. 0.5625Calc B. 50

C. 25D. 0.02

C 57. For the following ANOVA table, the dfError value is ___________.Source of Variation SS df MS F

Treatment 4Error 360Total 440 16

E A. 4Calc B. 20

C. 12D. 64

A 58. For the following ANOVA table, the MS Treatment value is ___________.Source of Variation SS df MS F


E A. 2Calc B. 200

C. 76D. 84

370 Test Bank

D 59. For the following ANOVA table, the MS Error value is ___________.Source of Variation SS df MS F


E A. 4,320Calc B. 372

C. 348D. 3

A 60. For the following ANOVA table, the calculated F value is ___________.Source of Variation SS df MS F


E A. 0.67Calc B. 1.50

C. 6.00D. 5.00

B 61. When the numerator degrees of freedom are _____, the value of F is the same as t-squared.

E A. the same as the denominatorTerm B. one

C. twoD. squared


D 62. The following graph indicates a _______________.

E A. 2 4 factorial design with interactionTerm B. 4 2 factorial design with no interaction

C. 4 2 factorial design with interactionD. 2 4 factorial design with no interaction

B 63. The following graph indicates a _______________.

E A. 2 3 factorial design with interactionTerm B. 2 4 factorial design with interaction

C. 4 2 factorial design with interactionD. 4 2 factorial design with no interaction

024681012

C1 C2 C3 C4

Column

Cell

Mea

ns

R1 R2

0510152025

C1 C2 C3 C4

Column

Cell

Mea

ns

R1 R2

372 Test Bank

B 64. 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 lighting level in the greeting card department may affect sales in that department. She divides the 120 pharmacies into 3 groups (urban, suburban, and rural) and randomly assigns six pharmacies to each lighting level (soft, medium, and bright). Sandra's experimental design is a ________.


C. normalized block designD. completely randomized design

C 65. 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 lighting level in the greeting card department may affect sales in that department. She divides the 120 pharmacies into 3 groups (urban, suburban, and rural) and randomly assigns six pharmacies to each lighting level (soft, medium, and bright). In Sandra's experiment "sales in the greeting card department" is ______.

E A. a treatment variableBApp B. a concomitant variable

C. the dependent variableD. a blocking variable

A 66. 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 lighting level in the greeting card department may affect sales in that department. She divides the 120 pharmacies into 3 groups (urban, suburban, and rural) and randomly assigns six pharmacies to each lighting level (soft, medium, and bright). In Sandra's experiment "lighting" is ______.

E A. a treatment variableBApp B. a concomitant variable



D 67. 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 lighting level in the greeting card department may affect sales in that department. She divides the 120 pharmacies into 3 groups (urban, suburban, and rural) and randomly assigns six pharmacies to each lighting level (soft, medium, and bright). In Sandra's experiment "pharmacy location (urban, suburban, rural)" is ________.

M A. a surrogate variableBApp B. the dependent variable


B 68. 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 lighting level in the greeting card department may affect sales in that department. She divides the 120 pharmacies into 3 groups (urban, suburban, and rural) and randomly assigns six pharmacies to each lighting level (soft, medium, and bright). Sandra's null hypothesis is ________.

E A. 1 2 3BApp B. 1 = 2 = 3

C. 1 2 3D. 1 2 3

374 Test Bank

B 69. 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 lighting level in the greeting card department may affect sales in that department. She divides the 120 pharmacies into 3 groups (urban, suburban, and rural) and randomly assigns six pharmacies to each lighting level (soft, medium, and bright). Analysis of Sandra's data produced the following ANOVA table.

Source of Variation SS df MS FTreatment 50 2 25 0.230769

Block 6016.667 2 3008.333 27.76923Error 433.3333 4 108.3333Total 6500 8

Using = 0.01, the appropriate decision for the treatment effects is ________.

E A. do not reject the null hypothesis 1 2 3BApp B. do not reject the null hypothesis 1 = 2 =


C 70. 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 lighting level in the greeting card department may affect sales in that department. She divides the 120 pharmacies into 3 groups (urban, suburban, and rural) and randomly assigns six pharmacies to each lighting level (soft, medium, and bright). Analysis of Sandra's data produced the following ANOVA table.

Source of Variation SS df MS FTreatment 50 2 25 0.230769

Block 6016.667 2 3008.333 27.76923Error 433.3333 4 108.3333Total 6500 8

Using = 0.01, the appropriate decision for the block effects is ________.

E A. do not reject the null hypothesis 1 2 3BApp B. do not reject the null hypothesis 1 2 3

C. reject the null hypothesis 1 = 2 = D. reject the null hypothesis 1 2 3


D 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. Cindy's experimental design is a ________.

M A. normalized block designBApp B. completely randomized design

C. factorial design D. random block design

B 72. 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 ________.

E A. a concomitant variableBApp B. the dependent variable


C 73. 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 "total asset size of credit customer" is ________.

M A. a surrogate variableBApp B. the dependent variable

C. a blocking variableD. a treatment variable

376 Test Bank

D 74. 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 ________.

E A. a surrogate variableBApp B. the dependent variable

C. a blocking variableD. a treatment variable

C 75. 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 ________.

E A. 1 2 3 4BApp B. 1 2 3 4

C. 1 = 2 = 3 = 4D. 1 2 3 4


A 76. 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.


Block 10.5 2 5.25 2.123596Error 14.83333 6 2.472222Total 90.25 11

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


C. do not reject the null hypothesis 1 2 3 4D. do not reject the null hypothesis 1 2 3 4

B 77. 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.


Block 10.5 2 5.25 2.123596Error 14.83333 6 2.472222Total 90.25 11

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

M A. do not reject the null hypothesis 1 2 3 4BApp B. do not reject the null hypothesis 1 = 2 = 3 = 4

C. reject the null hypothesis 1 2 3 4D. reject the null hypothesis 1 2 3 4

378 Test Bank

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

Treatment Levels1 2 3 4

Block 1 5 2 3 8Block 2 7 4 3 5Block 3 4 3 1 9

The Total Sum of Squares (SST) is ________.

M A. 65.00Calc B. 17.50

C. 47.00D. 0.500

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



The Treatment Sum of Squares (SSB) is ________.

M A. 65.00Calc B. 17.50

C. 47.00D. 0.500

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



The Blocks Sum of Squares (SSA) is ________.

M A. 65.00Calc B. 17.50


C. 47.00D. 0.500

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



The Error Sum of Squares (SSE) is ________.

M A. 65.00Calc B. 17.50

C. 47.00D. 0.500

B 82. Data from a randomized block design are shown in the following table. Treatment Levels

1 2 3 4Block 1 5 2 3 8Block 2 7 4 3 5Block 3 4 3 1 9

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

E A. 3.59Calc B. 4.76

C. 3.98D. 5.14

A 83. Data from a randomized block design are shown in the following table.



380 Test Bank

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

H A. 5.31Calc B. 0.09

C. 15.67D. 2.92




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

H A. reject the null hypothesis 1 2 3 4Calc B. reject the null hypothesis 1 = 2 = 3 = 4

C. do not reject the null hypothesis 1 2 3 4D. do not reject the null hypothesis 1 2 3 4

D 85. Data from a randomized block design are shown in the following table.



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

E A. 3.59Calc B. 4.76

C. 3.98D. 5.14





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

H A. 5.31Calc B. 0.09

C. 15.67D. 2.92

C 87. Data from a randomized block design are shown in the following table.



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

H A. reject the null hypothesis 1 2 3 4Calc B. do not reject the null hypothesis 1 2 3 4

C. do not reject the null hypothesis 1 = 2 = 3 = 4D. reject the null hypothesis 1 2 3 4

D 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. Colin's experimental design is _____________.

M A. random block designBApp B. normalized block design

C. completely randomized designD. factorial design

C 89. 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

382 Test Bank

"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 _____________.

E A. a concomitant variableBApp B. a treatment variable



A 90. 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 _____________.

M A. a treatment variableBApp B. a surrogate variable


C 91. 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 _____________.

M A. the dependent variableBApp B. a blocking variable

C. a treatment variableD. a surrogate variable

A 92. 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 _____________.

E A. 1 = 2 = 3BApp B. 1 2 3

C. 1 2 3D. 1 2 3

384 Test Bank

A 93. 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 FRows (supervisor's style) 410.8889 1 410.8889 45.09756Column (training method) 120.7778 2 60.38889 6.628049Interaction 2.111111 2 1.055556 0.115854Within 109.3333 12 9.111111Total 643.1111 17

The appropriate decision for "training method" effects is _____________.


C. do not reject the null hypothesis 1 = 2D. do not reject the null hypothesis 1 2

C 94. 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 FRows (supervisor's style) 410.8889 1 410.8889 45.09756Column (training method) 120.7778 2 60.38889 6.628049Interaction 2.111111 2 1.055556 0.115854Within 109.3333 12 9.111111Total 643.1111 17

The appropriate decision for "supervisor's style" effects is _____________.



C. do not reject the null hypothesis 1 = 2D. do not reject the null hypothesis 1 2

386 Test Bank

D 95. An experimental design contains _____________.

E A. only independent variablesTerm B. only dependent variables

C. neither independent or dependent variablesD. both independent and dependent variables

B 96. In experimental design, a variable that the experimenter controls or modifies in the experiment is called a _____________.

E A. classification variableTerm B. treatment variable

C. dummy variableD. response variable

A 97. 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 _____________.

E A. classification variableTerm B. treatment variable

C. dummy variableD. response variable

C 98. In experimental design, treatment variables are _____________.

E A. classification variablesTerm B. dummy variables

C. independent variablesD. response variables

A 99. In experimental design, classification variables are _____________.

E A. independent variablesTerm B. dummy variables

C. treatment variablesD. response variables


100. Katherine Krepel, Director of Marketing Research, is planning an experiment to evaluate the effects of various attributes of toothpaste packaging on consumer acceptance. Examples of packaging attributes include: dominant colors, size, shape, and dispensing method. Katherine's company markets its products internationally in North America, South America, Europe, and the Pacific Basin.

Discuss Katherine's experimental design problem. Identify the dependent variable, treatment variables (and some of their levels), and some blocking variables (some of their levels). Where will the experiment take place? In a laboratory? In retail stores?

M _________________________________________________________________ BApp _________________________________________________________________

_________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________

388 Test Bank

101. Dennis Dube, Division Manager of Claims Processing at Tri-State Auto Insurance, Inc., is designing an experiment to assess the effects of various factors on productivity and quality in the three claims processing departments (one is located in each state). Office procedures, processing procedures, office environment, training methods, and work schedules are some of the factors Dennis is considering for the experiment.

Discuss Dennis's experimental design problem. Identify the dependent variable(s), treatment variables (and some of their levels), and some blocking variables (some of their levels). Should the employees (claims processors) be made aware of the experiment?

M _________________________________________________________________ BApp _________________________________________________________________

_________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________


102. 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 "training method" on the productivity of operators. The treatment levels were technical manuals, training films, and multimedia training methods. Operators were ranomly assigned a training method. Producutivity data, recorded after the training, were analyzed by Excel's one-way ANOVA procedure.

Productivity Data(Units per day)

Manuals Films Multimedia20 22 2415 19 2018 24 2730 29 3525 34 3027 28 37

Anova: Single Factor

SUMMARYGroups Count Sum Average Variance

Manuals 6 135 22.5 33.1Films 6 156 26 29.2Multimedia 6 173 28.83333 42.16667

ANOVASource of Variation

SS df MS F P-value F crit

Between Groups 120.7778 2 60.38889 1.734205 0.210118 3.682317Within Groups 522.3333 15 34.82222Total 643.1111 17

What are the hypotheses for this problem? Discuss the results obtained by studying the computer output. What might they tell Colin?

MBApp

390 Test Bank

103. 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.

Discuss the output. Are there any significant effects? Analyze the graph.

MBApp

AuthoritarianPartcipatory

MultimediaManualsFilms

33

28

23

18

Method

Supervisor

Mea

n

Interaction Plot - Data Means for Productivity

Two-way Analysis of Variance

Analysis of Variance for ProductiSource DF SS MS F PSupervis 1 410.89 410.89 45.10 0.000Method 2 120.78 60.39 6.63 0.012Interaction 2 2.11 1.06 0.12 0.892Error 12 109.33 9.11Total 17 643.11

Individual 95% CISupervis Mean -------+---------+---------+---------+----Authorit 21.0 (-----*-----)Partcipa 30.6 (-----*------) -------+---------+---------+---------+---- 21.0 24.5 28.0 31.5

Individual 95% CIMethod Mean ----+---------+---------+---------+-------Films 26.0 (--------*--------)Manuals 22.5 (--------*--------)Multimed 28.8 (--------*--------) ----+---------+---------+---------+------- 21.0 24.0 27.0 30.0

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