Exam 11: Analysis of Variance and Design of Experiments

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

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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%).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.  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 ________. Using α\alpha = 0.05,the appropriate decision for block effects is ________.

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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.In Kevin's experiment "sales at a Web site" is _______.

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

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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 ________________.

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

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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.Kevin's experimental design is a ________.

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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,"operator productivity" is _____________.

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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.

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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 experimental design is a ________.

(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%).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 ________.

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

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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,"sales discount rate" is ______.

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

(Multiple Choice)
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For the following ANOVA table,the critical value of the studentized range distribution using α\alpha = 0.05 is ______  For the following ANOVA table,the critical value of the studentized range distribution using   \alpha  = 0.05 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.Kevin's 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%).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 ________.

(Multiple Choice)
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(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%).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 ________.

(Multiple Choice)
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In experimental design,classification variables are independent variables.

(True/False)
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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 observed F value is _____________. Using α\alpha = 0.05,the observed F value is _____________.

(Multiple Choice)
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