Exam 15: Analysis of Variance

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A randomized block design ANOVA has five treatments and three blocks.The analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A randomized block design ANOVA has five treatments and three blocks.The analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA    -What is the degrees of freedom for Error? -What is the degrees of freedom for Error?

(Multiple Choice)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Random samples of two freshmen,two sophomores,two juniors,and two seniors each from four dormitories were asked to rate on a scale from 1 (poor)to 10 (excellent)the quality of the dormitory environment for studying.The results are shown in the table. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Random samples of two freshmen,two sophomores,two juniors,and two seniors each from four dormitories were asked to rate on a scale from 1 (poor)to 10 (excellent)the quality of the dormitory environment for studying.The results are shown in the table.    -Set up the analysis of variance table. -Set up the analysis of variance table.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Five stock analysts were asked to predict earnings for four different stocks for the next year.The following statistics summarize their responses: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Five stock analysts were asked to predict earnings for four different stocks for the next year.The following statistics summarize their responses:    -Is there sufficient evidence to reject the null hypothesis that there is no difference between the analysts forecast? -Is there sufficient evidence to reject the null hypothesis that there is no difference between the analysts forecast?

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Is there sufficient evidence to reject α that there is no difference between the analysts' forecasts?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A machine press manufacturer is comparing orders coming from different regions in the country and has collected the following data from 20 orders. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A machine press manufacturer is comparing orders coming from different regions in the country and has collected the following data from 20 orders.    -Develop the analysis of variance table. -Develop the analysis of variance table.

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In a Kruskal-Wallis test at the 5% significance level,there are four samples and the value of the test statistic is calculated as W = 8.79.The most accurate statement that can be made about the p-value is that it is:

(Multiple Choice)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In conducting the Kruskal-Wallis test,independent random samples of sizes 5,7,8,and 7 were drawn from four populations and the sum of ranks in each of the samples were 84,100,96,and 98,respectively. -Explain when a nonparametric test is to be used in place of the one-way ANOVA F-test,when testing the difference among several population means.

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The null hypothesis for analysis of variance states that at least one pair of population means is not equal.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Random samples of eight freshmen,eight sophomores,and eight juniors taking a business statistics class were drawn.The accompanying table shows scores on the final examination. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Random samples of eight freshmen,eight sophomores,and eight juniors taking a business statistics class were drawn.The accompanying table shows scores on the final examination.    -Set out the analysis of variance table. -Set out the analysis of variance table.

(Essay)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by A through H summarizes the responses.    -What is the value of D? -What is the value of "D"?

(Multiple Choice)
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Is there sufficient evidence to reject H0 that there is no difference between the stocks?

(Multiple Choice)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA: Single Factor SUMMARY THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA: Single Factor SUMMARY     ANOVA    -The total number of degrees of freedom is equal to: ANOVA THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA: Single Factor SUMMARY     ANOVA    -The total number of degrees of freedom is equal to: -The total number of degrees of freedom is equal to:

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In a one-way ANOVA,if the variability between groups is large compared to the variability within groups,we suspect the null hypothesis of equality of population means to be false.

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The value for F3,15,0.01 in a one-way ANOVA is found to be 26.87.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table with missing values identified by asterisks. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table with missing values identified by asterisks.    -What are the degrees of freedom for between groups? -What are the degrees of freedom for between groups?

(Short Answer)
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In a two-way ANOVA analysis with more than one observation per cell,the F ratio for the between block variations is given by MSI / MSE.

(True/False)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table with missing values identified by asterisks. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table with missing values identified by asterisks.    -Compute mean squares for between groups -Compute mean squares for between groups

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In conducting the Kruskal-Wallis test,independent random samples of sizes 5,7,8,and 7 were drawn from four populations and the sum of ranks in each of the samples were 84,100,96,and 98,respectively. -Calculate the Kruskal-Wallis test statistic.

(Essay)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A machine press manufacturer is comparing orders coming from different regions in the country and has collected the following data from 20 orders. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A machine press manufacturer is comparing orders coming from different regions in the country and has collected the following data from 20 orders.    -Is there sufficient evidence to reject the null hypothesis that the average number of machines per order is the same for different regions of the country? -Is there sufficient evidence to reject the null hypothesis that the average number of machines per order is the same for different regions of the country?

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In a two-way ANOVA,with one observation per cell,if there are 5 groups and 3 blocks,then the total number of observations is:

(Multiple Choice)
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