A study of 8 different weight loss programs involved 160 subjects. Each of the 8

Question

A study of 8 different weight loss programs involved 160 subjects. Each of the 8 programs had 20 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded. We want to test the claim that the mean weight loss is the same for the 8 programs.

(a) Complete the following ANOVA table with sum of squares, degrees of freedom, and mean square (Show all work):

(b) Determine the test statistic. Show all work

(c) Determine the P-value

(d) Is there sufficient evidence to support the claim that the mean weight loss is the same for the 8 programs at the significance level of 0.05? Explain.

Source of variation Sum of Squares Degrees of Freedom Mean Square Factor (between) 27.82 Error (within) Total 543.05 159 N/A

Explanation / Answer

from above:

b) f stat =1.1725

c) P value=0.3218

d)as p value is higher then 0.05 level

No there is not sufficient evidence to support the claim that the mean weight loss is the same for the 8 programs at the significance level of 0.05

Source of variation Sum of Squares Degrees of Freedom Mean Square F stat P value Factor (between) 27.82 7 3.9743 1.1725 0.3218 Error (within) 515.23 152 3.3897 Total 543.05 159

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