In an efiurt co counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the 312 students in the class. After the exam, 6 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 Group size mean variance Version A 78 154.2 393.3 Version B 78 149.3 333.7 Version C 78 151.6 468.5 Version D 78 154.0 415.0 Send data to calculator Send data to Excel Taking the 78 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 mean square for treatments (the "between groups" mean square) that would be reported in the ANOVA test? (b) What is the value of the mean square for error (the "within groups" mean square) that would be reported in the ANOVA test?
In an efiurt co counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the 312 students in the class. After the exam, 6 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 Group size mean variance Version A 78 154.2 393.3 Version B 78 149.3 333.7 Version C 78 151.6 468.5 Version D 78 154.0 415.0 Send data to calculator Send data to Excel Taking the 78 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 mean square for treatments (the "between groups" mean square) that would be reported in the ANOVA test? (b) What is the value of the mean square for error (the "within groups" mean square) that would be reported in the ANOVA test?
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 efiort co counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the 312
students in the class. After the exam, 6 students from the class got together and petitioned to nullify the results
equal in difficulty.
the grounds that the four versions were not
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
78
154.2
393.3
Aa
Version B
78
149.3
333.7
Version C
78
151.6
468.5
Version D
78
154.0
415.0
Send data to calculator
Send data to Excel
Taking the 78 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 mean square for treatments (the
"between groups" mean square) that would be reported in the
ANOVA test?
(b) What is the value of the mean square for error (the "within
groups" mean square) that would be reported in the ANOVA
test?
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