1. A
physician who specializes in weight control has three different diets she
recommends. As an experiment, she randomly selected 15 patients and then
assigned 5 to each diet. After three weeks the following weight losses, in
pounds, were noted. At the .05 significance level, can she conclude that there
is a difference in the mean amount of weight loss among the three diets?
Plan A
Plan B
Plan C
5
6
7
7
7
8
4
7
9
5
5
8
4
6
9
An ANOVA was run and the results are shown below. At the .01 significance level, is there a
difference in the weight loss between the three plans? What is the
p-value? What can you do to determine
exactly where the difference is?
One factor ANOVA
Mean
n
Std. Dev
5.0
5
1.22
Plan A
6.2
5
0.84
Plan B
8.2
5
0.84
Plan C
6.5
15
1.64
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
26.13
2
13.067
13.52
.0008
Error
11.60
12
0.967
Total
37.73
14
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