Exam 11: Analysis of Variance and Design of Experiments

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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 ________________.

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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 ________.

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

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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.In Kathleen's experimental design "reduced length of stay" is _______.

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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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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 Blocks Sum of Squares (SSR)is ________. The Blocks Sum of Squares (SSR)is ________.

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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.

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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 training method effects is _____________. Using α\alpha = .05,the appropriate decision for "training method" effects is _____________.

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The Tukey-Kramer procedure is based on construction of confidence intervals for each pair of treatment means at a time.

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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 critical F value for the treatments null hypothesis is ________. Using α\alpha = 0.05,the critical F value for the treatments null hypothesis is ________.

(Multiple Choice)
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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.In Colin's experiment,"training method" 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 critical F value is _____________. Using α\alpha = 0.05,the critical F 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.Cindy's experimental design is a ________.

(Multiple Choice)
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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 has how many levels?

(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 critical F value for the blocking effects null hypothesis is ___. Using α\alpha = 0.05,the critical F value for the blocking effects null hypothesis is ___.

(Multiple Choice)
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For the following ANOVA table,the HSD value,assume equal sample sizes and using α\alpha = 0.01 is ______  For the following ANOVA table,the HSD value,assume equal sample sizes and using   \alpha  = 0.01 is ______

(Multiple Choice)
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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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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.

(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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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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