Exam 15: Analysis of Variance
Exam 1: Describing Data: Graphical247 Questions
Exam 2: Describing Data: Numerical326 Questions
Exam 3: Probability345 Questions
Exam 4: Discrete Random Variables and Probability Distributions257 Questions
Exam 5: Continuous Random Variables and Probability Distributions239 Questions
Exam 6: Sampling and Sampling Distributions147 Questions
Exam 7: Estimation: Single Population151 Questions
Exam 8: Estimation: Additional Topics109 Questions
Exam 9: Hypothesis Testing: Single Population164 Questions
Exam 10: Hypothesis Testing: Additional Topics103 Questions
Exam 11: Simple Regression217 Questions
Exam 12: Multiple Regression252 Questions
Exam 13: Additional Topics in Regression Analysis168 Questions
Exam 14: Analysis of Categorical Data241 Questions
Exam 15: Analysis of Variance192 Questions
Exam 16: Time-Series Analysis and Forecasting138 Questions
Exam 17: Additional Topics in Sampling110 Questions
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A randomized block design ANOVA has five treatments and three blocks.The analysis of variance table is displayed below with missing values,denoted by asterisks.
ANOVA
-What is the degrees of freedom for Error?
(Multiple Choice)
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Random samples of two freshmen,two sophomores,two juniors,and two seniors each from four dormitories were asked to rate on a scale from 1 (poor)to 10 (excellent)the quality of the dormitory environment for studying.The results are shown in the table.
-Set up the analysis of variance table.
(Essay)
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Five stock analysts were asked to predict earnings for four different stocks for the next year.The following statistics summarize their responses:
-Is there sufficient evidence to reject the null hypothesis that there is no difference between the analysts forecast?
(Essay)
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Is there sufficient evidence to reject α that there is no difference between the analysts' forecasts?
(Multiple Choice)
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A machine press manufacturer is comparing orders coming from different regions in the country and has collected the following data from 20 orders.
-Develop the analysis of variance table.
(Essay)
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In a Kruskal-Wallis test at the 5% significance level,there are four samples and the value of the test statistic is calculated as W = 8.79.The most accurate statement that can be made about the p-value is that it is:
(Multiple Choice)
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In conducting the Kruskal-Wallis test,independent random samples of sizes 5,7,8,and 7 were drawn from four populations and the sum of ranks in each of the samples were 84,100,96,and 98,respectively.
-Explain when a nonparametric test is to be used in place of the one-way ANOVA F-test,when testing the difference among several population means.
(Essay)
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The null hypothesis for analysis of variance states that at least one pair of population means is not equal.
(True/False)
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Random samples of eight freshmen,eight sophomores,and eight juniors taking a business statistics class were drawn.The accompanying table shows scores on the final examination.
-Set out the analysis of variance table.
(Essay)
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Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses.
-What is the value of "D"?
(Multiple Choice)
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Is there sufficient evidence to reject H0 that there is no difference between the stocks?
(Multiple Choice)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
An analysis of variance table is displayed below with missing values,denoted by asterisks.
ANOVA: Single Factor
SUMMARY
ANOVA
-The total number of degrees of freedom is equal to:
(Multiple Choice)
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In a one-way ANOVA,if the variability between groups is large compared to the variability within groups,we suspect the null hypothesis of equality of population means to be false.
(True/False)
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The value for F3,15,0.01 in a one-way ANOVA is found to be 26.87.
(True/False)
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Consider the following analysis of variance table with missing values identified by asterisks.
-What are the degrees of freedom for between groups?
(Short Answer)
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In a two-way ANOVA analysis with more than one observation per cell,the F ratio for the between block variations is given by MSI / MSE.
(True/False)
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Consider the following analysis of variance table with missing values identified by asterisks.
-Compute mean squares for between groups
(Short Answer)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In conducting the Kruskal-Wallis test,independent random samples of sizes 5,7,8,and 7 were drawn from four populations and the sum of ranks in each of the samples were 84,100,96,and 98,respectively.
-Calculate the Kruskal-Wallis test statistic.
(Essay)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A machine press manufacturer is comparing orders coming from different regions in the country and has collected the following data from 20 orders.
-Is there sufficient evidence to reject the null hypothesis that the average number of machines per order is the same for different regions of the country?
(Essay)
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In a two-way ANOVA,with one observation per cell,if there are 5 groups and 3 blocks,then the total number of observations is:
(Multiple Choice)
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