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.Cindy's experimental design is a ___.

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

(Multiple Choice)
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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.

(Essay)
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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.Cindy's null hypothesis 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:   The Error Sum of Squares (SSE)is ___. The Error Sum of Squares (SSE)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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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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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 ___.

(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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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 Total Sum of Squares (SST)is ___. The Total Sum of Squares (SST)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 appropriate decision is ___. Using α\alpha = 0.05,the appropriate decision 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.In Kevin's experiment "style" is ___.

(Multiple Choice)
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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 ___.

(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 treatment effects is ___. Using α\alpha = 0.05,the appropriate decision for treatment effects 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 appropriate decision for the treatments is ___. Using α\alpha = 0.05,the appropriate decision for the treatments 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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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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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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The statistical methods of analysis of variance assume equal sample means.

(True/False)
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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 appropriate decision for the blocking effects is ___. Using α\alpha = 0.05,the appropriate decision for the blocking effects is ___.

(Multiple Choice)
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