Deck 11: Analysis of Variance and Design of Experiments

Question 1

Describe an experimental design and its elements,including independent variables-both treatment and classification-and dependent variables.

Answer 1

Sound business research requires that the researcher plan and establish a design for the experiment before a study is undertaken.The design of the experiment should encompass the treatment variables to be studied,manipulated,and controlled.These variables are often referred to as the independent variables.It is possible to study several independent variables and several levels,or classifications,of each of the variables in one design.In addition,the researcher selects one measurement to be taken from sample items under the conditions of the experiment.This measurement is referred to as the dependent variable because if the treatment effect is significant,the measurement of the dependent variable will "depend" on the independent variable(s)selected.In this chapter,we explored three types of experimental designs: completely randomized design,randomized block design,and factorial experimental designs.

Question 2

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

Answer 2

True

Question 3

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

Answer 3

True

Question 4

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 ___.

A) $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
B) $\mu$ ₁ $\neq$ $\mu$ ₂ $\neq$ $\mu$ ₃
C) $\mu$ ₁ $\ge$ $\mu$ ₂ $\ge$ $\mu$ ₃
D) $\mu$ ₁ $\le$ $\mu$ ₂ $\le$ $\mu$ ₃
E) $\mu$ ₁ $\le$$\mu$ ₂ $\ge$ $\mu$ ₃

Question 5

Test a completely randomized design using a one-way analysis of variance.

Question 6

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.

Question 7

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:
Using $\alpha$ = 0.05,the appropriate decision is ___.

A)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
B)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃
C)do not reject the null hypothesis $\mu$ ₁ $\ge$ $\mu$ ₂ $\ge$ $\mu$ ₃
D)do not reject the null hypothesis $\mu$ ₁ $\le$$\mu$ ₂ $\le$ $\mu$ ₃
E)inconclusive

Question 8

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 experimental design "sales in the greeting card department" is ___.

A)the dependent variable
B)a concomitant variable
C)a treatment variable
D)a blocking variable
E)a constant

Question 9

In an experimental design,treatment variables are response variables.

Question 10

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.

Question 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 ___.

A)factorial design
B)random block design
C)normalized block design
D)completely randomized design
E)fractional design

Question 12

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

Question 13

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.

Question 14

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

Question 15

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

Question 16

An experimental design contains only independent variables.

Question 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.In Sandra's experimental design "lighting" is ___.

A)the dependent variable
B)a concomitant variable
C)a treatment variable
D)a blocking variable
E)a response variable

Question 18

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

Question 19

Test a randomized block design that includes a blocking variable to control for confounding variables.

Question 20

In experimental design,classification variables are independent variables.

Question 21

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

Question 22

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:
Using $\alpha$ = 0.01,the observed F value is ___.

A)6.2102
B)0.1610
C)0.1875
D)5.3333
E)4.9873

Question 23

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

A)a blocking variable
B)a concomitant variable
C)a treatment variable
D)the dependent variable
E)the independent variable

Question 24

BigShots,Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Kevin Conn,Sales Director,feels that the style (colour scheme,graphics,fonts,etc. )of a website may affect its sales.He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalogue websites to each design style.Analysis of Kevin's data yielded the following ANOVA table:
Using $\alpha$ = 0.05,the appropriate decision is ___.

A)inconclusive
B)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃
C)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
D)do not reject the null hypothesis $\mu$ ₁ $\ge$ $\mu$ ₂ $\ge$ $\mu$ ₃
E)do not reject the null hypothesis $\mu$ ₁ $\le$ $\mu$ ₂ $\le$ $\mu$ ₃

Question 25

BigShots,Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Kevin Conn,Sales Director,feels that the style (colour scheme,graphics,fonts,etc. )of a website may affect its sales.He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalogue websites to each design style.Analysis of Kevin's data yielded the following ANOVA table:
Using $\alpha$ = 0.05,the observed F value is ___.

A)0.5022
B)0.1333
C)1.9911
D)17.5054
E)22.4567

Question 26

BigShots,Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Kevin Conn,Sales Director,feels that the style (colour scheme,graphics,fonts,etc. )of a website may affect its sales.He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalogue websites 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

Question 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.An analysis of Cindy's data produced the following ANOVA table:
Using $\alpha$ = 0.01,the appropriate decision is ___.

A)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄
B)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃ $\neq$ $\mu$ ₄
C)do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄
D)do not reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃ $\neq$ $\mu$ ₄
E)do nothing

Question 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 ___.

A)the dependent variable
B)a treatment variable
C)a blocking variable
D)a concomitant variable
E)a constant

Question 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.An analysis of Cindy's data produced the following ANOVA table:
Using $\alpha$ = 0.01,the appropriate decision is ___.

A)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄
B)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃ $\neq$ $\mu$ ₄
C)do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄= $\mu$ ₅
D)do not reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃ $\neq$ $\mu$ ₄ $\neq$ $\mu$ ₅
E)do nothing

Question 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:
Using $\alpha$ = 0.05,the observed F value is ___.

A)0.5022
B)0.1333
C)1.9911
D)7.5000
E)1.000

Question 31

BigShots,Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Kevin Conn,Sales Director,feels that the style (colour scheme,graphics,fonts,etc. )of a website may affect its sales.He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalogue websites 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

Question 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:
Using $\alpha$ = 0.01,the critical F value is ___.

A)5.33
B)6.21
C)0.16
D)5.29
E)6.89

Question 33

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

Question 34

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:
Using $\alpha$ = 0.05,the critical F value is ___.

A)13.68
B)19.43
C)3.59
D)19.45
E)3.68

Question 35

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) $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄= $\mu$ ₅
B) $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃ $\neq$ $\mu$ ₄ $\neq$ $\mu$ ₅
C) $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃ $\neq$ $\mu$ ₄
D) $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄
E) $\mu$ ₁ $\neq$$\mu$ ₂ = $\mu$ ₃= $\mu$ ₄

Question 36

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

Question 37

BigShots,Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Kevin Conn,Sales Director,feels that the style (colour scheme,graphics,fonts,etc. )of a website may affect its sales.He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalogue websites to each design style.Analysis of Kevin's data yielded the following ANOVA table:
Using v = 0.05,the critical F value is ___.

A)3.57
B)19.43
C)3.68
D)19.45
E)2.85

Question 38

BigShots,Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Kevin Conn,Sales Director,feels that the style (colour scheme,graphics,fonts,etc. )of a website may affect its sales.He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalogue websites to each design style.Analysis of Kevin's data yielded the following ANOVA table:
Using $\alpha$ = 0.05,the appropriate decision is ___.

A)do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
B)do not reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃
C)reject the null hypothesis $\mu$ ₁ $\ge$ $\mu$ ₂ $\ge$ $\mu$ ₃
D)reject the null hypothesis $\mu$ ₁ $\le$ $\mu$ ₂ $\le$ $\mu$ ₃
E)do nothing

Question 39

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

A) $\mu$ ₁ $\ge$ $\mu$ ₂ $\ge$ $\mu$
B) $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃
C) $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃/
D) $\mu$ ₁ $\le$ $\mu$ ₂ $\le$ $\mu$ ₃
E) $\mu$ ₁ $\le$$\mu$ ₂ $\ge$ $\mu$ ₃

Question 40

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:
Using $\alpha$ = 0.05,the appropriate decision is ___.

A)do not reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃
B)do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
C)reject the null hypothesis $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$$\mu$ ₃
D)reject the null hypothesis $\mu$ ₁ $\le$ $\mu$ ₂ $\le$ $\mu$ ₃
E)inclusive

Question 41

Data from a completely randomized design are shown in the following table:
For a one-way ANOVA using $\alpha$ = 0.05,the critical F value is ___.

A)3.86
B)3.59
C)19.38
D)4.26
E)6.8

Question 42

For the following ANOVA table,the df_Error value is ___.

A)4
B)20
C)12
D)64
E)16

Question 43

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

Question 44

Data from a completely randomized design are shown in the following table:
For a one-way ANOVA using $\alpha$ = 0.05,the observed F value is ___.

A)5.66
B)3.19
C)18.08
D)4.34
E)8.98

Question 45

For the following ANOVA table,the observed F value is ___.

A)0.5625
B)50
C)25
D)0.02
E)0.09

Question 46

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

Question 47

Data from a completely randomized design are shown in the following table:
For a one-way ANOVA using $\alpha$ = 0.05,the appropriate decision is ___.

A)do not reject the null hypothesis $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$ $\mu$ ₃
B)do not reject the null hypothesis $\mu$ ₁ $\le$$\mu$ ₂ $\le$$\mu$ ₃
C)reject the null hypothesis $\mu$ ₁= $\mu$ ₂ = $\mu$ ₃
D)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃
E)do not reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃

Question 48

For the following ANOVA table,the observed F value is ___.

A)0.67
B)1.50
C)6.00
D)5.00
E)4.00

Question 49

For the following ANOVA table,the df_Treatment value is ___.

A)3
B)43
C)1.15
D)460
E)150

Question 50

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

Question 51

For the following ANOVA table,the MS Error value is ___.

A)4,320
B)372
C)348
D)30
E)4

Question 52

For the following ANOVA table,the MS Treatment value is ___.

A)20
B)200
C)76
D)84
E)360

Question 53

For the following ANOVA table,the MS Error value is ___.

A)20
B)60
C)800
D)2
E)200

Question 54

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) $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$ $\mu$ ₃ $\neq$ $\mu$ ₄
B) $\mu$ ₁ $\le$$\mu$ ₂ $\le$ $\mu$ ₃ $\le$ $\mu$ ₄.
C) $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄
D) $\mu$ ₁ $\le$$\mu$ ₂ $\le$ $\mu$ ₃ $\le$ $\mu$ ₄
E) $\mu$ ₁ $\le$$\mu$ ₂ $\ge$ $\mu$ ₃ $\le$ $\mu$ ₄ .

Question 55

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

Question 56

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

Question 57

For the following ANOVA table,the MS Treatment value is ___.

A)150
B)50
C)450
D)3.49
E)40

Question 58

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:
Using $\alpha$ = 0.05,the appropriate decision for treatment effects is ___.

A)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄
B)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃ $\neq$ $\mu$ ₄
C)do not reject the null hypothesis $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$$\mu$ ₃ $\ge$ $\mu$ ₄
D)do not reject the null hypothesis $\mu$ ₁ $\le$$\mu$ ₂ $\le$$\mu$ ₃ $\le$ $\mu$ ₄
E)do nothing

Question 59

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

Question 60

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

Question 61

Data from a randomized block design are shown in the following table:
Using $\alpha$ = 0.05,the observed F value for the treatments null hypothesis is ___.

A)5.37
B)0.09
C)15.67
D)2.92
E)1.98

Question 62

Data from a randomized block design are shown in the following table:
Using $\alpha$ = 0.05,the appropriate decision for the blocking effects is ___.

A)reject the null hypothesis $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$$\mu$ ₃

B)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃

C)do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃

D)do not reject the null hypothesis $\mu$ ₁ $\le$$\mu$ ₂ $\le$$\mu$ ₃
E)do nothing

Question 63

Data from a randomized block design are shown in the following table: The Blocks Sum of Squares (SSR)is ___.

A)65.00
B)17.50
C)47.00
D)0.500
E)10.00

Question 64

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:
Using $\alpha$ = 0.05,the appropriate decision for block effects is ___.

A)do not reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃
B)do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
C)reject the null hypothesis $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$$\mu$ ₃
D)reject the null hypothesis $\mu$ ₁ $\le$$\mu$ ₂ $\le$$\mu$ ₃
E)do nothing

Question 65

Data from a randomized block design are shown in the following table: The Treatment Sum of Squares (SSC)is ___.

A)65.00
B)17.50
C)47.00
D)0.500
E)1.000

Question 66

Data from a randomized block design are shown in the following table:
Using $\alpha$ = 0.05,the appropriate decision for the treatments is ___.

A)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃ $\neq$ $\mu$ ₄
B)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃= $\mu$ ₄
C)do not reject the null hypothesis $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$$\mu$ ₃ $\ge$ $\mu$ ₄
D)do not reject the null hypothesis $\mu$ ₁ $\le$$\mu$ ₂ $\le$$\mu$ ₃ $\le$ $\mu$ ₄
E)do nothing

Question 67

Data from a randomized block design are shown in the following table: The Error Sum of Squares (SSE)is ___.

A)65.00
B)17.50
C)47.00
D)0.500
E)37.00

Question 68

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:
Using $\alpha$ = .05,the appropriate decision for "supervisor's style" effects is ___.

A)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
B)do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
C)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂
D)do not reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂
E)do nothing

Question 69

The following graph indicates a ___.

A)2 $\times$ 4 factorial design with interaction
B)4 $\times$ 2 factorial design with no interaction
C)4 $\times$ 2 factorial design with interaction
D)2 $\times$ 4 factorial design with no interaction
E)randomized block design

Question 70

Data from a randomized block design are shown in the following table:
With $\alpha$ = 0.05,the observed F value for the blocking effects null hypothesis is ___.

A)5.31
B)0.09
C)15.67
D)2.92
E)1.89

Question 71

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) $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
B) $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃
C) $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$$\mu$ ₃
D) $\mu$ ₁ $\le$$\mu$ ₂ $\le$$\mu$ ₃
E) $\mu$ ₁ $\le$$\mu$ ₂ $\ge$$\mu$ ₃

Question 72

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

Question 73

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

Question 74

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

Question 75

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

Question 76

Data from a randomized block design are shown in the following table:
Using $\alpha$ = 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

Question 77

Data from a randomized block design are shown in the following table: The Total Sum of Squares (SST)is ___.

A)65.00
B)17.50
C)47.00
D)0.500
E)1.000

Question 78

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:
Using $\alpha$ = .05,the appropriate decision for "training method" effects is ___.

A)reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
B)reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃
C)do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂
D)do not reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂
E)do nothing

Question 79

Data from a randomized block design are shown in the following table:
Using $\alpha$ = 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

Question 80

The following graph indicates a ___.

A)2 $\times$ 3 factorial design with interaction
B)2 $\times$ 4 factorial design with interaction
C)4 $\times$ 2 factorial design with interaction
D)4 $\times$ 2 factorial design with no interaction
E)completely randomized design