Deck 11: A Nalysis of Variance and Design of Experiments

Question 1

In an experimental design,treatment variables are response variables.

Answer 1

False

Question 2

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

Answer 2

False

Question 3

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

Answer 3

True

Question 4

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

Question 5

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 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

In experimental design,classification variables are independent variables.

Question 11

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

Question 12

An experimental design contains only independent variables.

Question 13

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

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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

Question 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. 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 22

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 23

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO,Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital,as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo,a bright abstract,and a muted beach scene)and randomly assigns six hospital rooms to each painting.Analysis of Kathleen'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 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.
Using $\alpha$ = 0.05,the critical F value is _____________.

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

Question 25

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO,Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital,as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo,a bright abstract,and a muted beach scene)and randomly assigns six hospital rooms to each painting.Kathleen'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 ≥ $\mu$ ₃

Question 26

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 27

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 28

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO,Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital,as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo,a bright abstract,and a muted beach scene)and randomly assigns six hospital rooms to each painting.Analysis of Kathleen's data yielded the following ANOVA table.
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 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.
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 30

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

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

Question 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. 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 32

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

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

Question 33

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

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

Question 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.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 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. Kevin's null hypothesis is _____________.

A) $\mu$ ₁ $\ge$ $\mu$ ₂ $\ge$ $\mu$ ₃
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 36

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO,Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital,as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo,a bright abstract,and a muted beach scene)and randomly assigns six hospital rooms to each painting.Analysis of Kathleen's data yielded the following ANOVA table.
Using $\alpha$ = 0.05,the observed F value is _____________.

A) 16738.1
B) 1769.75
C) 33476.19
D) 26546.18
E) 9.457912

Question 37

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 $\alpha$ = 0.05,the observed F value is _____________.

A) 0.5022
B) 0.1333
C) 1.9911
D) 17.5100
E) 22.4567

Question 38

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

Question 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.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 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.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 41

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

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

Question 42

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

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

Question 43

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

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

Question 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.
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 45

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

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

Question 46

For the following ANOVA table,the critical value of the studentized range distribution using $\alpha$ = 0.05 is ______

A) 1.86
B) 3.94
C) 9.17
D) 1.65
E) 1.79

Question 47

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 48

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 49

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 50

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

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

Question 51

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 52

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 53

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

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

Question 54

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

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

Question 55

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 56

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 57

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 58

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 59

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 60

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 61

For the following ANOVA table,the HSD value,assuming equal sample sizes and using $\alpha$ = 0.05 is ______

A) 1.86
B) 3.94
C) 3.19
D) 1.645
E) 3.52

Question 62

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) 5.14
B) 0.37
C) 1.17
D) 0.22
E) 2.00

Question 63

For the following ANOVA table,the HSD value,assume equal sample sizes and using $\alpha$ = 0.01 is ______

A) 0.81
B) 0.55
C) 0.48
D) 0.43
E) 0.68

Question 64

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 65

Cindy Ho,VP of Finance at Discrete Components,Inc.(DCI),theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly,she has designed an experiment to test her theory using four sales discount rates (0%,2%,4%,and 6%). 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 $\ge$$\mu$ ₂ $\ge$ $\mu$ ₃ $\le$ $\mu$ ₄
E) do nothing

Question 66

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 67

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

A) 4.67
B) 12
C) 2.33
D) 28.67
E) 11

Question 68

Cindy Ho,VP of Finance at Discrete Components,Inc.(DCI),theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly,she has designed an experiment to test her theory using four sales discount rates (0%,2%,4%,and 6%). 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 69

Cindy Ho,VP of Finance at Discrete Components,Inc.(DCI),theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly,she has designed an experiment to test her theory using four sales discount rates (0%,2%,4%,and 6%). 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 70

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

A) $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃ $\neq$$\mu$ ₄
B) $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$ $\mu$ ₃ $\ge$ $\mu$ 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 71

For the following ANOVA table,the critical value of the studentized range distribution using $\alpha$ = 0.01 is ______

A) 3.01
B) 3.67
C) 4.17
D) 4.84
E) 5.25

Question 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 ________.

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

Question 73

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

A) 4.67
B) 12
C) 2.33
D) 28.67
E) 11

Question 74

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

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

Question 75

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

A) 4.67
B) 12
C) 2.33
D) 28.67
E) 11

Question 76

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

A) 4.67
B) 12
C) 2.33
D) 28.67
E) 11

Question 77

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) 0.37
B) 5.14
C) 1.17
D) 2.33
E) 2.00

Question 78

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

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

Question 79

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 80

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