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

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Question description

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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