Exam 11: Analysis of Variance and Design of Experiments

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 _________.

Data from a randomized block design are shown in the following table. The Total Sum of Squares (SST)is ________.

For the following ANOVA table,the critical value of the studentized range distribution using $\alpha$ = 0.01 is ______

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 _____________.

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 _____.

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 appropriate decision is _____________.

Determining the table value for the F distribution requires two values for degrees of freedom.

Data from a randomized block design are shown in the following table. Using $\alpha$ = 0.05,the appropriate decision for the treatments is ________.

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 ________.

For the following ANOVA table,the MS Error value is ___________.

The statistical methods of analysis of variance assume equal sample means.

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 _____________.

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 null hypothesis is ______.

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 ________.

Data from a randomized block design are shown in the following table. The Error Sum of Squares (SSE)is ________.

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 "average collection period" is ________.

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 dependent variable is ________________.

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 ________.

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.In Kathleen's experimental design "painting style" is _______.

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 ____.