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(Steps Shown) A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients

Question: 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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Solution: The downloadable solution consists of 2 pages
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