Exam 11: A Nalysis of Variance and Design of Experiments

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

(True/False)
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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. Analysis of Colin's data produced the following ANOVA table.  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. Analysis of Colin's data produced the following ANOVA table.    Using  \alpha  = .05,the appropriate decision for supervisor's style effects is _____________. Using α\alpha = .05,the appropriate decision for "supervisor's style" effects 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. 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 Treatment Sum of Squares (SSB)is ________. The Treatment Sum of Squares (SSB)is ________.

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As director of the employee wellness and productivity program in your company,you are interested in comparing the effects of strength training,aerobic training,and yoga on decreasing rates of injury and absenteeism.The company has 9 divisions with roughly the same number of employees,and you randomly assign 3 divisions to participate in strength training,3 to aerobic training,and 3 to yoga.Your alternative hypothesis is ______.

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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.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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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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In experimental design,classification variables are independent variables.

(True/False)
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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 critical F value is _____________. Using α\alpha = 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 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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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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In experimental design,a variable that the experimenter controls or modifies in the experiment is called a treatment variable.

(True/False)
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For the following ANOVA table,the critical value of the studentized range distribution using α\alpha = 0.01 is ______  For the following ANOVA table,the critical value of the studentized range distribution using  \alpha  = 0.01 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 observed F value is _____________. Using α\alpha = 0.05,the observed F value is _____________.

(Multiple Choice)
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In an experimental design,treatment variables are response variables.

(True/False)
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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 null hypothesis for training methods 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. In Cindy's experiment "total asset size of credit customer" 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 observed F value is _____________. Using α\alpha = 0.05,the observed F value is _____________.

(Multiple Choice)
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