In an effort to counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions amon 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 vers 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 following information (the exam had 200 possible points). Group Version A Version B Version C Version D Sample Sample Sample size mean variance 76 157.1 426.4 76 147.2 428.0 76 151.5 541,4 159.3 416.2 76 Send data to calculator Send data to Excel Taking the 76 scores for each version of the exam as a sample of scores for that version, the professor performed a one-way, independent-samples ANC 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 plac (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

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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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 304
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
76
426.4
76
428.0
76
541.4
76
416.2
Send data to calculator V
157.1
147.2
151.5
159.3
Taking the 76 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.
Explanation
Send data to Excel
(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?
Check
O Search
0
W
Transcribed Image Text:g now 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 304 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 76 426.4 76 428.0 76 541.4 76 416.2 Send data to calculator V 157.1 147.2 151.5 159.3 Taking the 76 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. Explanation Send data to Excel (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? Check O Search 0 W
Group
Version A
Version B
Version C
Version D
3°F
aining now
Sample Sample
Sample
size
mean
76
76
76
76
Explanation
Send data to calculator V
157.1
147.2
151.5
159.3
Sample
variance
426.4
428.0
541.4
416.2
Taking the 76 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.
Check
Send data to Excel
(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?
X
O Search
0
S
0
H
W
Español
?
0
Transcribed Image Text:Group Version A Version B Version C Version D 3°F aining now Sample Sample Sample size mean 76 76 76 76 Explanation Send data to calculator V 157.1 147.2 151.5 159.3 Sample variance 426.4 428.0 541.4 416.2 Taking the 76 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. Check Send data to Excel (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? X O Search 0 S 0 H W Español ? 0
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