Exam 12: Analysis of Variance

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For the hypothesis test, For the hypothesis test,   ,with n<sub>1</sub> = 9 and n<sub>2</sub> = 9,the F-test statistic is 4.53.At the 0.05 level of significance,we would reject the null hypothesis. ,with n1 = 9 and n2 = 9,the F-test statistic is 4.53.At the 0.05 level of significance,we would reject the null hypothesis.

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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 rate for companies in the utilities and banking,the 95% confidence interval shows an interval of 1.28 to 6.28 for the difference.This result indicates that Based on the comparison between the mean annual dividend rate for companies in the utilities and banking,the 95% confidence interval shows an interval of 1.28 to 6.28 for the difference.This result indicates that

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The shape of the F distribution is determined by the degrees of freedom for the F-statistic,one for the numerator and one for the denominator.

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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 mean square for error? What is the mean square for error?

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The test statistic used in ANOVA is Student's t.

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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 error sum of squares? What are the degrees of freedom for the error sum of squares?

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Given the following Analysis of Variance table for three treatments each with six observations. Given the following Analysis of Variance table for three treatments each with six observations.   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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If we want to determine which treatment means differ,we compute a confidence interval for the difference between each pair of means.

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The F distribution's curve is positively skewed.

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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:   When comparing the mean annual dividend for companies in the utilities and insurance industries,the following 95% confidence interval can be constructed: When comparing the mean annual dividend for companies in the utilities and insurance industries,the following 95% confidence interval can be constructed:

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All values in a F distribution must be ______________.

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Which statement is correct about the F distribution?

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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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What statistical technique is used to test the equality of three or more population means? ____________________

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What is the least number of sources of variation in ANOVA? _________

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Three different fertilizers were applied to a field of celery.In computing F,how many degrees of freedom are there in the numerator?

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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>1</sub>?  What is H1? 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>1</sub>?

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In an one-way ANOVA,what are the degrees of freedom associated with the error sum of squares? ___________

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What distribution does the F distribution approach as the sample size increases?

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The alternate hypothesis used in ANOVA is The alternate hypothesis used in ANOVA is   . .

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