Posted: August 12th, 2020

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

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?

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Plan A

Plan B

Plan C

5

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6

7

7

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7

8

4

7

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9

5

5

8

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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?

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One factor ANOVA

Mean

n

Std. Dev

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5.0

5

1.22

Plan A

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6.2

5

0.84

Plan B

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8.2

5

0.84

Plan C

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6.5

15

1.64

Total

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ANOVA table

Source

SS

  df

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MS

F

  p-value

Treatment

26.13

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2

13.067

13.52

.0008

Error

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11.60

12

0.967

Total

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37.73

14

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