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 variablesboth treatment and classificationand 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 variablesboth treatment and classificationand 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 experimenters 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 variablesboth treatment and classificationand 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
Learning Objective: 11.1: Describe an experimental design and its elements including independent variablesboth treatment and classificationand dependent variables.
5. An experimental design contains only 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 variablesboth treatment and classificationand dependent variables.
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:
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.
10. Determining the table value for the F distribution requires two values for degrees of freedom.
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.
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 Tukeys 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 level.
Ans:
Response: See section 11.3 Multiple Comparison Tests
Difficulty: Medium
Learning Objective: 11.3: Use multiple comparison techniques including Tukeys 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 =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 Tukeys 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
Learning Objective: 11.1: Describe an experimental design and its elements including independent variables both treatment and classification and dependent variables.
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 childrens 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 childrens 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 childrens 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 childrens 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 childrens 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 childrens 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 childrens 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