Exam 12: Analysis of Variance

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If the computed value of F is 0.99 and the F critical value is 3.89, we would not reject the null hypothesis.

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Analysis of variance is used to _____________.

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

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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 next. 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 next.   In an ANOVA table, what are the degrees of freedom for the error source of variation? In an ANOVA table, what are the degrees of freedom for the error source of variation?

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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?

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In an ANOVA table, k represents the total number of sample observations and n represents the total number of treatments.

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In a one-way ANOVA, the degrees of freedom associated with the error sum of squares is __________.

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In a two-way ANOVA with interaction, there are two factor effects and an interaction effect.

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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 error sum of squares is 0.09, the mean square error is _____.

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The null hypothesis for an ANOVA comparing three population means is ___________________.

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

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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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In a two-way ANOVA, a blocking variable is used to _________________.

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The F distribution is useful when testing a requirement of two-sample tests of hypothesis. The requirement is _______________.

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Suppose a package delivery company purchased 14 trucks at the same time. Five trucks were purchased from manufacturer A, four from manufacturer B, and five from manufacturer C. The cost of maintaining each truck was recordeD. The company used ANOVA to test if the mean maintenance costs of the trucks from each manufacturer were equal. To apply the F test, how many degrees of freedom must be in the denominator?

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A bottle cap manufacturer with four machines and six operators wants to see if variation in production is due to the machines and/or the operators. The ANOVA table follows. A bottle cap manufacturer with four machines and six operators wants to see if variation in production is due to the machines and/or the operators. The ANOVA table follows.   What are the degrees of freedom for the operators? What are the degrees of freedom for the operators?

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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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To employ ANOVA, the populations being studied must be approximately normally distributed.

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

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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, the mean square for brands is _____.

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