Exam 12: Analysis of Variance

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A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below. A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below.   What is the critical value of F at the 5% level of significance? What is the critical value of F at the 5% level of significance?

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For an ANOVA test,rejection of the null hypothesis does not identify which treatment means differ significantly.

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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 1% level of significance,what is the decision? At the 1% level of significance,what is the decision?

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A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below. A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below.   What are the degrees of freedom for the treatment sum of squares? What are the degrees of freedom for the treatment sum of squares?

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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 H<sub>0</sub>?  What is H0? 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 H<sub>0</sub>?

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In a one-way ANOVA,what is the numerator of the F ratio called? ______________

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In a study of protein breakfast bars,five bars from each of three brands were tested to see if the mean amount of protein per bar differs among the brands.If the sum of squares for the brands is 0.07 and the sum of squares for the error is 0.11,what is the decision rule at α\alpha = 0.05? __________________________

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In ANOVA,when we do not reject the null hypothesis,what inference do we make about the population means? ________________

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Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will have the best fuel economy.The four grades are: regular,below regular,premium,and super premium.The test car made three trial runs on the test track using each of the four grades and the miles per gallon recorded.At the 0.05 level,what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel is the same? Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will have the best fuel economy.The four grades are: regular,below regular,premium,and super premium.The test car made three trial runs on the test track using each of the four grades and the miles per gallon recorded.At the 0.05 level,what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel is the same?   . .

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If a confidence interval for the difference between a pair of treatment means includes 0,then we fail to reject the null hypothesis that there is no difference in the pair of treatment means.

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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 Undergraduate and Master's Degree or more,the following 95% confidence interval can be constructed: When comparing the mean annual incomes for executives with Undergraduate and Master's Degree or more,the following 95% confidence interval can be constructed:

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In a study of protein breakfast bars,five bars from each of three brands were tested to see if the mean amount of protein per bar differs among the brands.If the calculated F is 4.74,what would the decision be if α\alpha = 0.01? _________________

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When testing for differences between treatment means,the t statistic is based on:

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A random sample of 16 companies was selected and asked for their annual dividend rate in three different industries: utilities,banking,and insurance.The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis.The Mean Square Error (MSE)was 3.36.The following table summarized the results: A random sample of 16 companies was selected and asked for their annual dividend rate in three different industries: utilities,banking,and insurance.The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis.The Mean Square Error (MSE)was 3.36.The following table summarized the results:   Based on the comparison between the mean annual dividend for companies in the utilities and insurance industries, Based on the comparison between the mean annual dividend for companies in the utilities and insurance industries,

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