Exam 12: Analysis of Variance

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A random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expense among three industries rejected the null hypothesis. The mean square error (MSE)was 195. The following table summarized the results: A random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expense among three industries rejected the null hypothesis. The mean square error (MSE)was 195. The following table summarized the results:   Based on the comparison between the mean annual computer technology expense for companies in the education and tax services industries,________. Based on the comparison between the mean annual computer technology expense for companies in the education and tax services industries,________.

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In a two-way ANOVA,the sources of variation are ________.

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The F-distribution's curve is positively skewed.

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The college of business was interested in comparing the interaction of academic status and class time on class attendance. Three different classes were sampled for each cell in the table. The means for each cell follow. The college of business was interested in comparing the interaction of academic status and class time on class attendance. Three different classes were sampled for each cell in the table. The means for each cell follow.   What are the total degrees of freedom? What are the total degrees of freedom?

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Which statement is correct about the F-distribution?

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A random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expense among three industries rejected the null hypothesis. The mean square error (MSE)was 195. The following table summarized the results: A random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expense among three industries rejected the null hypothesis. The mean square error (MSE)was 195. The following table summarized the results:   When comparing the mean annual computer technology expense for companies in the education and tax services industries,which of the following 95% confidence interval can be constructed? When comparing the mean annual computer technology expense for companies in the education and tax services industries,which of the following 95% confidence interval can be constructed?

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The annual dividend rates for a random sample of 16 companies in three different industries,utilities,banking,and insurance,were recorded. The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis that the dividend rates were equal. The mean square error (MSE)was 3.36. The following table summarized the results: The annual dividend rates for a random sample of 16 companies in three different industries,utilities,banking,and insurance,were recorded. The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis that the dividend rates were equal. The mean square error (MSE)was 3.36. The following table summarized the results:   Based on the comparison between the mean annual dividend rate for companies in the utilities and insurance industries,________. Based on the comparison between the mean annual dividend rate for companies in the utilities and insurance industries,________.

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When the null hypothesis for an ANOVA analysis comparing four treatment means is rejected,________.

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A manufacturer of automobile transmissions uses two different processes. Management ordered a study of the production costs to see if there is a difference between the two processes. A summary of the findings is shown next. A manufacturer of automobile transmissions uses two different processes. Management ordered a study of the production costs to see if there is a difference between the two processes. A summary of the findings is shown next.   What is the critical value of F at the 1% level of significance? What is the critical value of F at the 1% level of significance?

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Two accounting professors decided to compare the variance of their grading procedures. To accomplish this,they each graded the same 10 exams,with the following results: Two accounting professors decided to compare the variance of their grading procedures. To accomplish this,they each graded the same 10 exams,with the following results:   At the 10% level of significance,what is the decision regarding the null hypothesis? At the 10% level of significance,what is the decision regarding the null hypothesis?

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Two accounting professors decided to compare the variance of their grading procedures. To accomplish this,they each graded the same 10 exams,with the following results: Two accounting professors decided to compare the variance of their grading procedures. To accomplish this,they each graded the same 10 exams,with the following results:   What are the degrees of freedom for the numerator of the F ratio? What are the degrees of freedom for the numerator of the F ratio?

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Several employees have submitted different methods of assembling a subassembly. Sample data for each method are: Several employees have submitted different methods of assembling a subassembly. Sample data for each method are:   How many treatments are there? How many treatments are there?

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Given the following ANOVA table for three treatments each with six observations: Given the following ANOVA table for three treatments each with six observations:   What is the treatment mean square? What is the treatment mean square?

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Two accounting professors decided to compare the variance of their grading procedures. To accomplish this,they each graded the same 10 exams,with the following results: Two accounting professors decided to compare the variance of their grading procedures. To accomplish this,they each graded the same 10 exams,with the following results:   What is the critical value of F at the 0.1 level of significance? What is the critical value of F at the 0.1 level of significance?

(Multiple Choice)
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Two accounting professors decided to compare the variance of their grading procedures. To accomplish this,they each graded the same 10 exams,with the following results: Two accounting professors decided to compare the variance of their grading procedures. To accomplish this,they each graded the same 10 exams,with the following results:   What are the degrees of freedom for the denominator of the F ratio? What are the degrees of freedom for the denominator of the F ratio?

(Multiple Choice)
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Given the following ANOVA table for three treatments each with six observations: Given the following ANOVA table for three treatments each with six observations:   What is the decision regarding the null hypothesis at the 5% significance level? What is the decision regarding the null hypothesis at the 5% significance level?

(Multiple Choice)
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The following is the information for a completely randomized experimental design involving four treatments,where 12 observations were recorded for each treatment for a total of 48 observations. SST = 210 (Sum of Squares Between Groups); SS Total = 840 (Sum of Squares Total). The computed value of F,or the test statistic,is ________.

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When testing for differences between treatment means,the degrees of freedom for the t-statistic are ________.

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The college of business was interested in comparing the interaction of academic status and class time on class attendance. Three different classes were sampled for each cell in the table. The means for each cell follow. The college of business was interested in comparing the interaction of academic status and class time on class attendance. Three different classes were sampled for each cell in the table. The means for each cell follow.   What are the total degrees of freedom? What are the total degrees of freedom?

(Multiple Choice)
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A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The ANOVA comparing the average income among three levels of education rejected the null hypothesis. The mean square error (MSE)was 243.7. The following table summarized the results : A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The ANOVA comparing the average income among three levels of education rejected the null hypothesis. The mean square error (MSE)was 243.7. The following table summarized the results :   When comparing the mean annual incomes for executives with a high school education or less and those with an undergraduate degree,the 95% confidence interval shows an interval of 11.7 to 42.7 for the difference. This result indicates that ________. When comparing the mean annual incomes for executives with a high school education or less and those with an undergraduate degree,the 95% confidence interval shows an interval of 11.7 to 42.7 for the difference. This result indicates that ________.

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