Exam 11: Analysis of Variance and Design of Experiments

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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.  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 _________. Using α\alpha = 0.01,the critical F value is _________.

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

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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 _____________.

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In an experimental design,treatment variables are response variables.

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Data from a randomized block design are shown in the following table.  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__. With α\alpha = 0.05,the observed F value for the blocking effects null hypothesis is__.

(Multiple Choice)
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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.  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 _________. Using α\alpha = 0.01,the appropriate decision is _________.

(Multiple Choice)
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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 _____________.

(Multiple Choice)
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Data from a completely randomized design are shown in the following table.  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 ________. For a one-way ANOVA using α\alpha = 0.05,the critical F value is ________.

(Multiple Choice)
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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 ________.

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

(True/False)
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Data from a completely randomized design are shown in the following table. Data from a completely randomized design are shown in the following table.   For a one-way ANOVA,the Between Sum of Squares (SSC is ________. For a one-way ANOVA,the Between Sum of Squares (SSC is ________.

(Multiple Choice)
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Data from a completely randomized design are shown in the following table.  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 ________. For a one-way ANOVA using α\alpha = 0.05,the observed F value is ________.

(Multiple Choice)
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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.  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 _____________. Using α\alpha = 0.05,the appropriate decision is _____________.

(Multiple Choice)
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For the following ANOVA table,the observed F value is ___________. For the following ANOVA table,the observed F value is ___________.

(Multiple Choice)
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For the following ANOVA table,the MS Error value is ___________. For the following ANOVA table,the MS Error value is ___________.

(Multiple Choice)
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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 _____________.

(Multiple Choice)
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For the following ANOVA table,the observed F value is ___________. For the following ANOVA table,the observed F value is ___________.

(Multiple Choice)
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For the following ANOVA table,the dfTreatment value is ___________. For the following ANOVA table,the dfTreatment value is ___________.

(Multiple Choice)
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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.  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 _____________. Using α\alpha = 0.05,the appropriate decision is _____________.

(Multiple Choice)
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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.  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 _________. Using α\alpha = 0.01,the observed F value is _________.

(Multiple Choice)
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