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 296 students in the class. After the exam, some 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). Group Version A Version B Version C Version D Sample Sample Sample size mean variance 74 153.9 74 157.7 74 151.2 74 152.7 344.7 295.8 521.4 330.0 Send data to calc... ✓ Send data to Excel Taking the 74 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 "within groups" mean square that would be reported in the ANOVA test? (b) What is the value of the "between groups" mean square that would be reported in the ANOVA test? X 0 3
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 296 students in the class. After the exam, some 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). Group Version A Version B Version C Version D Sample Sample Sample size mean variance 74 153.9 74 157.7 74 151.2 74 152.7 344.7 295.8 521.4 330.0 Send data to calc... ✓ Send data to Excel Taking the 74 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 "within groups" mean square that would be reported in the ANOVA test? (b) What is the value of the "between groups" mean square that would be reported in the ANOVA test? X 0 3
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 296 students in the class. After the exam, some 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).
Group
Version A
Version B
Version C
Version D
Sample Sample Sample
size mean variance
74
153.9
344.7
74
157.7
295.8
74
151.2
521.4
74
152.7 330.0
Send data to calc...
Send data to Excel
Taking the 74 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 "within groups"
mean square that would be reported in
the ANOVA test?
(b) What is the value of the "between
groups" mean square that would be
reported in the ANOVA test?
X
0
3
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