(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? ?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Question #5

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman