At the .01 significance level, is there a difference in the weight loss between
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 |
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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 |
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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 |