A study of 15 different weight loss programs involved 300 subjects. Each of the

Question

A study of 15 different weight loss programs involved 300 subjects. Each of the 15 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 15 programs.

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

Source of Variation Sum of Squares Degrees of Freedom Mean Square

Factor (between) 42.5

Error (Within)

Total 553.05 299 n/a

Determine the test statistic. Show all work; writing the correct test statistic, with supporting
work
(c) Determine the P-value. Show all work; writing the correct P-value, with supporting work

(d) Is there sufficient evidence to support the claim that the mean weight loss is the same for the 15
programs at the significance level of 0.10? Explain.

Explanation / Answer

here from above given information:

test statistic F =1.69

c)for 14,285 degree of freedom in numerator and denominatior with above F stat ; p value =0.0561

d)as p vlaue is less then 0.10 level ; we can reject null hypothesis and there is suffiient  evidence to reject the claim that the mean weight loss is the same for the 15 programs at the significance level of 0.10

source SS df MS F p value factor 42.5 15-1=14 42.5/14=3.04 3.04/1.79=1.69 0.0561 error 553.05-42.5=510.55 299-14=285 510.55/285=1.79 total 553.05 299

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