Exam 11: Analysis of Variance and Design of Experiments

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 null hypothesis is ___.

For the following ANOVA table, the df_Error value is ___.

For the following ANOVA table, the observed F value is ___.

In experimental design, a characteristic of the subjects that was present prior to the experiment and is not the result of the experimenter's manipulations or control is called a classification variable.

In analysis of variance tests a t distribution forms the basis for making the decisions.

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 observed F value is ___.

In experimental design, a variable that the experimenter controls or modifies in the experiment is called a treatment variable.

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 ___.

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.

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 observed F value is ___.

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 ___.

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

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

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.In Cindy's experiment, "average collection period" is ___.

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