Exam 13: Analysis of Variance Anova

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BigShots, Inc. is a specialty e-tailer that operates 87 catalogue websites on the Internet. Kevin Conn, 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. Kevin's null hypothesis is ___.

(Multiple Choice)
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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 alternative hypothesis is ___.

(Multiple Choice)
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For the following ANOVA table, the observed F value is ___. For the following ANOVA table, the observed F value is ___.

(Multiple Choice)
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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:  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 observed F value is ___. Using α\alpha = 0.05, the observed F value is ___.

(Multiple Choice)
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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 ___.

(Multiple Choice)
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Complete the following two-factor ANOVA table. Determine the critical F values and reach conclusions about the hypotheses for effects at 5% significance level. Complete the following two-factor ANOVA table. Determine the critical F values and reach conclusions about the hypotheses for effects at 5% significance level.

(Essay)
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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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BigShots, Inc. is a specialty e-tailer that operates 87 catalogue websites on the Internet. Kevin Conn, 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 (colour neon, old world, and sophisticated) and randomly assigns six catalogue websites to each design style. Analysis of Kevin's data yielded the following ANOVA table:  BigShots, Inc. is a specialty e-tailer that operates 87 catalogue websites on the Internet. Kevin Conn, 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 (colour neon, old world, and sophisticated) and randomly assigns six catalogue websites to each design style. Analysis of Kevin's data yielded the following ANOVA table:   Using \alpha  = 0.05, the appropriate decision is ___. Using α\alpha = 0.05, the appropriate decision is ___.

(Multiple Choice)
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For the following ANOVA table, the MS Treatment value is ___. For the following ANOVA table, the MS Treatment value is ___.

(Multiple Choice)
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Data on three treatment levels are shown in the following table:  Data on three treatment levels are shown in the following table:   For a one-way ANOVA using  \alpha = 0.05, the observed F value is ___. For a one-way ANOVA using α\alpha = 0.05, the observed F value is ___.

(Multiple Choice)
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Data on three treatment levels are shown in the following table:  Data on three treatment levels are shown in the following table:   For a one-way ANOVA using  \alpha = 0.05, the appropriate decision is ___. For a one-way ANOVA using α\alpha = 0.05, the appropriate decision is ___.

(Multiple Choice)
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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:  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 appropriate decision is ___. Using α\alpha = 0.05, the appropriate decision is ___.

(Multiple Choice)
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For the following ANOVA table, the dfTreatment value is ___. For the following ANOVA table, the df<sub>Treatment</sub> value is ___.

(Multiple Choice)
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Determining the table value for the F distribution requires two values for degrees of freedom.

(True/False)
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Data on three treatment levels are shown in the following table: Data on three treatment levels 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 ___.

(Multiple Choice)
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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:  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 ___. Using α\alpha = 0.05, the appropriate decision is ___.

(Multiple Choice)
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For the following ANOVA table, the MS Error value is ___. For the following ANOVA table, the MS Error value is ___.

(Multiple Choice)
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In analysis of variance tests a F distribution forms the basis for making the decisions.

(True/False)
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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 observed F value is ___. Using α\alpha = 0.05, the observed F value is ___.

(Multiple Choice)
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For the following ANOVA table, the observed F value is ___. For the following ANOVA table, the observed F value is ___.

(Multiple Choice)
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