Exam 12: Analysis of Variance
Exam 1: What Is Statistics83 Questions
Exam 2: Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation132 Questions
Exam 3: Describing Data: Numerical Measures124 Questions
Exam 4: Describing Data: Displaying and Exploring Data113 Questions
Exam 5: A Survey of Probability Concepts134 Questions
Exam 6: Discrete Probability Distributions131 Questions
Exam 7: Continuous Probability Distributions135 Questions
Exam 8: Sampling Methods and the Central Limit Theorem117 Questions
Exam 9: Estimation and Confidence Intervals131 Questions
Exam 10: One-Sample Tests of Hypothesis110 Questions
Exam 11: Two-Sample Tests of Hypothesis98 Questions
Exam 12: Analysis of Variance134 Questions
Exam 13: Correlation and Linear Regression138 Questions
Exam 14: Multiple Regression Analysis135 Questions
Exam 15: Nonparametric Methods: Nominal Level Hypothesis Tests181 Questions
Exam 16: Nonparametric Methods: Analysis of Ordinal Data138 Questions
Exam 17: Index Numbers137 Questions
Exam 18: Time Series and Forecasting139 Questions
Exam 19: Statistical Process Control and Quality Management136 Questions
Exam 20: An Introduction to Decision Theory115 Questions
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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.
(True/False)
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For an ANOVA test, rejecting the null hypothesis does not identify which treatment means differ significantly.
(True/False)
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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.
In an ANOVA table, what are the degrees of freedom for the error source of variation?
(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:
What are the degrees of freedom for the denominator of the F ratio?
(Multiple Choice)
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In an ANOVA table, k represents the total number of sample observations and n represents the total number of treatments.
(True/False)
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In a one-way ANOVA, the degrees of freedom associated with the error sum of squares is __________.
(Short Answer)
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In a two-way ANOVA with interaction, there are two factor effects and an interaction effect.
(True/False)
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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 _____.
(Short Answer)
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The null hypothesis for an ANOVA comparing three population means is ___________________.
(Essay)
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In a two-way ANOVA, the sources of variation are _________________.
(Multiple Choice)
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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?
(Multiple Choice)
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In a two-way ANOVA, a blocking variable is used to _________________.
(Multiple Choice)
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The F distribution is useful when testing a requirement of two-sample tests of hypothesis. The requirement is _______________.
(Short Answer)
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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?
(Multiple Choice)
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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.
What are the degrees of freedom for the operators?
(Essay)
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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.
(True/False)
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To employ ANOVA, the populations being studied must be approximately normally distributed.
(True/False)
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When testing for differences between treatment means, the degrees of freedom for the t statistic are ___________.
(Multiple Choice)
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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 _____.
(Short Answer)
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