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(a) What is the value of the "between groups" mean square that would be reported in the ANOVA test? (b) What is the value of the "within groups" mean square that would be reported in the ANOVA test? ?

(a) What is the value of the "between groups" mean square that would be reported in the ANOVA test? (b) What is the value of the "within groups" mean square that would be reported in the ANOVA test? ?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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Taking the 80 scores for each version of the exam as a sample of scores for that version, the professor performed a one-way, independent-samples ANOVA test of the equality of the population mean scores for the four versions. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (a) What is the value of the "between groups" mean square that would be reported in the ANOVA test? (b) What is the value of the "within groups" mean square that would be reported in the ANOVA test?
Transcribed Image Text:Taking the 80 scores for each version of the exam as a sample of scores for that version, the professor performed a one-way, independent-samples ANOVA test of the equality of the population mean scores for the four versions. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (a) What is the value of the "between groups" mean square that would be reported in the ANOVA test? (b) What is the value of the "within groups" mean square that would be reported in the ANOVA test?
In an effort to counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the 320 students in the class. After the exam, 7 students from the class got together and petitioned to nullify the results on the grounds that the four versions were not equal in difficulty. To investigate the students' assertion, the professor examined the means and variances of the scores on the different versions of the exam, obtaining the following information (the exam had 200 possible points). Sample Sample Sample size Group mean variance Version A 80 148.7 388.1 Version B 80 154.5 504.5 Version C 80 153.1 350.0 Version D 80 156.1 383.5 Send data to calculator Send data to Excel
Transcribed Image Text:In an effort to counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the 320 students in the class. After the exam, 7 students from the class got together and petitioned to nullify the results on the grounds that the four versions were not equal in difficulty. To investigate the students' assertion, the professor examined the means and variances of the scores on the different versions of the exam, obtaining the following information (the exam had 200 possible points). Sample Sample Sample size Group mean variance Version A 80 148.7 388.1 Version B 80 154.5 504.5 Version C 80 153.1 350.0 Version D 80 156.1 383.5 Send data to calculator Send data to Excel
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