Mathematics : At the .01 significance level, is there a difference in the weight loss between Plans, homework help

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


Answers

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