The question of interest is whether mean GPA is the same or different for different weight attitude populations.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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For nos. 6 to 8.

On a survey conducted at a university, students were asked how they felt about their weight (about right, overweight, or underweight) and also were asked to record their grade point average (GPA). There were 234 responses, with 160 saying their weight was about right, 50 said they were overweight, and 17 underweight. The question of interest is whether mean GPA is the same or different for different weight attitude populations. Output for the study is given below.

 

6. If μ1, μ2 and μ3 are the population means of GPA for about the right, overweight and underweight groups, respectively, then the alternative hypotheses tested by this analysis is:

A. μ1, μ2 and μ3 are all different
B. At least two of μ1, μ2 and μ3 are different from each other
C. μ1= μ2≠μ3
D. μ1> μ2>μ3
7. The F computed value in this study is:
A. 0.201
B. 0.214
C. 1.067
D. 4.96
8. What is the appropriate conclusion to draw from this analysis?
A. If a student is underweight, he (she) should gain weight in order to raise his (her) GPA.
B. Overweight students should go on a diet to lose weight because this will result in a higher GPA
C. At least two of the mean GPAs of students are significantly different in the three weight attitude groups.
D. There is no significant difference among the mean GPAs of students in the three

ANOVA for GPA
fa
3.00
Source of Variation
df
MS
comp
Treatment (Among Groups)
Error (Within Groups)
2.134
2
231
1.067
0.215
49.719
Total
51.852
233
Transcribed Image Text:ANOVA for GPA fa 3.00 Source of Variation df MS comp Treatment (Among Groups) Error (Within Groups) 2.134 2 231 1.067 0.215 49.719 Total 51.852 233
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