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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When the null hypothesis for an ANOVA analysis comparing four treatment means is rejected, _________________.
(Multiple Choice)
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In ANOVA analyses, when the null hypothesis is rejected, we can test for differences between treatment means by _____________.
(Multiple Choice)
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Given the following ANOVA table for three treatments each with six observations:
What is the computed value of F?
(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 is the computed value of F for the operators?
(Essay)
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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:
Based on the comparison between the mean annual dividend rate for companies in utilities and banking, the 95% confidence interval shows an interval of 1.28 to 6.28 for the difference. This result indicates that _____________________.
(Multiple Choice)
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The human resources department of a software company encourages their employees to participate in a wellness program. They sampled 16 employees, 2 males and 2 females from four different workout routines and measured their peak heart rate. The ANOVA for the research follows.
Which source of variation significantly affects peak heart rate?
(Essay)
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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:
When comparing the mean annual incomes for executives with undergraduate and master's degrees or more, which of the following 95% confidence interval can be constructed?
(Multiple Choice)
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Interaction between two factors occurs when the effect of one factor on the response variable is the same for any value of another factor.
(True/False)
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When a second source of variance is included in the ANOVA analysis without interaction, that source is called a _________________.
(Short Answer)
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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.
What is the critical value of F at the 5% level of significance?
(Multiple Choice)
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In a two-way ANOVA, when is an interaction source of variance included?
(Essay)
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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 is the mean square for operators?
(Essay)
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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:
Based on the comparison between the mean annual computer technology expense for companies in the education and tax services industries, _________________.
(Multiple Choice)
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The human resources department of a software company encourages their employees to participate in a wellness program. They sampled 16 employees, 2 males and 2 females from four different workout routines and measured their peak heart rate. The ANOVA for the research follows.
What is the Interaction sum of squares?
(Essay)
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Assuming that the larger of two variances is in the numerator of an F-statistic, the rejection region to test a null hypothesis is in the _________ tail of the F distribution.
(Short Answer)
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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:
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 __________________.
(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 machines?
(Essay)
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ANOVA requires that the populations should be ______, ______, and have _____.
(Essay)
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