Exam 11: Analysis of Variance and Design of Experiments

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

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

(Multiple Choice)
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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: 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 ___. Using v = 0.05,the critical F value is ___.

(Multiple Choice)
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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:    Using  \alpha  = 0.05,the critical F value for the blocking effects null hypothesis is ___. Using α\alpha = 0.05,the critical 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%).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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For the following ANOVA table,the dfTreatment value is ___. For the following ANOVA table,the df<sub>Treatment</sub> value is ___.

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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.

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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 Error Sum of Squares (SSE)is ___. For a one-way ANOVA,the Error Sum of Squares (SSE)is ___.

(Multiple Choice)
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For the following ANOVA table,the dfError value is ___. For the following ANOVA table,the df<sub>Error</sub> value is ___.

(Multiple Choice)
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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:  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 ___. Using α\alpha = 0.05,the observed F value is ___.

(Multiple Choice)
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Test a randomized block design that includes a blocking variable to control for confounding variables.

(Essay)
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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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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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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 ___.

(Multiple Choice)
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The following graph indicates a ___. The following graph indicates a ___.

(Multiple Choice)
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In analysis of variance tests a t distribution forms the basis for making the decisions.

(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 using  \alpha  = 0.05,the appropriate decision is ___. For a one-way ANOVA using α\alpha = 0.05,the appropriate decision 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 critical F value is ___. Using α\alpha = 0.05,the critical F value is ___.

(Multiple Choice)
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