Exam 11: A Nalysis 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.In Cindy's experiment,"average collection period" 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.Analysis of Kathleen's data yielded the following ANOVA table. Using $\alpha$ = 0.05,the critical 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%)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 critical F value 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 dependent variable 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 "reduced length of stay" is _______.

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 ________.

The Tukey-Kramer procedure allows us to simultaneously examine all pairs of population means after the ANOVA test has been completed without increasing the true α level.

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 observed F value 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.Analysis of Kathleen's data yielded the following ANOVA table. Using $\alpha$ = 0.05,the appropriate decision 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 ____.

Data from a randomized block design are shown in the following table . The Blocks Sum of Squares (SSR)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 is: ______.

Data from a randomized block design are shown in the following table. With $\alpha$ = 0.05,the observed F value for the blocking effects null hypothesis 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.

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 a ________________.

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 experimental design is a ________.

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 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 ________.

A medical researcher is interested in how weight gain in children from third-world countries is affected by the source of protein (fish,roots and tubers,or nuts and oilseeds)and by level of protein intake (low,defined as less than 0.56 grams per kilogram of weight,or high).The researcher wants to test the relative efficacy of each protein source,controlling for the level of protein intake but not testing it as the main variable of interest.For this purpose,she classifies a group of children in an impoverished village in a third-world country into either high or low protein intake.Then,the researcher randomly assigns 50 children from each category to a group where the children will receive food once a day that will emphasize one of the three protein sources.You can assume that the total level of protein intake is not affected (it's effects take a longer time to show and depend largely on the other meals the children have at home).The researcher's experimental design is a ______.

Data from a completely randomized design are shown in the following table. For a one-way ANOVA using $\alpha$ = 0.05,the critical F value is ________.