Exam 11: Analysis of Variance and Design of Experiments

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While reviewing staffing plans for a new pilot plant, Colin Posein, VP of Operations at Balzac 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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Cindy Smith, VP of Finance at Digital 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 ___.

(Multiple Choice)
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While reviewing staffing plans for a new pilot plant, Colin Posein, VP of Operations at Balzac 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 null hypothesis for training methods is ___.

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In experimental design, treatment variables are response variables.

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ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, 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 Larson's data yielded the following ANOVA table:  ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, 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 Larson'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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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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For the following ANOVA table, the dfTreatment value is ___. For the following ANOVA table, the df<sub>Treatment</sub> 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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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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While reviewing staffing plans for a new pilot plant, Colin Posein, VP of Operations at Balzac 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, 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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RightAid Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Cathy Eng, 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.Cathy's experimental design is a ___.

(Multiple Choice)
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Cindy Smith, VP of Finance at Digital 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 Smith, VP of Finance at Digital 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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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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RightAid Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Cathy Eng, 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 Cathy's data yielded the following ANOVA table:  RightAid Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Cathy Eng, 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 Cathy'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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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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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 Smith, VP of Finance at Digital 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 ___.

(Multiple Choice)
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While reviewing staffing plans for a new pilot plant, Colin Posein, VP of Operations at Balzac 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.Analysis of Colin's data produced the following ANOVA table:  While reviewing staffing plans for a new pilot plant, Colin Posein, VP of Operations at Balzac 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.Analysis of Colin's data produced the following ANOVA table:   Using  \alpha = .05, the appropriate decision for training method effects is ___. Using α\alpha = .05, the appropriate decision for "training method" 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 observed F value for the treatments null hypothesis is ___. Using α\alpha = 0.05, the observed F value for the treatments null hypothesis is ___.

(Multiple Choice)
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