Exam 11: A Nalysis of Variance and Design of Experiments

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 "training method" effects is _____________.

Analysis of variance may be used to test the differences in the means of more than two independent populations.

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. Kevin's null hypothesis 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 ________.

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 _____________.

The head of the math department at a local community college is interested in conducting an experiment to determine effective teaching strategies for improving student math comprehension and math literacy.In particular,she is interested in a new pedagogical model called "flipped classroom," in which the typical lecture and homework elements of the course are reversed.Short video lectures are viewed by students at home before the class session,while in-class time is devoted to exercises,projects,or discussions.For this purpose,the math head will have half of the sections of calculus II this coming semester be taught in the traditional setting,while the other half will use the flipped classroom model.In this experiment,the independent variable has ______ levels.

Data from a randomized block design are shown in the following table. Using $\alpha$ = 0.05,the critical F value for the treatments null hypothesis 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.In Cindy's experiment,"sales discount rate" is ______.

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

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.In Colin's experiment,"training method" 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 appropriate decision is _____________.

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.Analysis of the data yielded the following ANOVA table. Using $\alpha$ = 0.05,the observed F value 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 "sales discount rate" is ________.

For the following ANOVA table,the df_Error value 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 ______.

A completely randomized design has been analyzed by using a one-way ANOVA.There are three treatment groups in the design,and each sample size is four.The mean for group 1 is 25.00 and for group 3 it is 27.50.MSE is 3.19.Using α=0.05 there is a significant difference between these two groups.

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.In Colin's experiment,"supervisor's style" 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 independent variable is ________________.

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. In Colin's experiment,"operator productivity" is _____________.

Data from a completely randomized design are shown in the following table. For a one-way ANOVA,the Total Sum of Squares (SST)is ________.