A study of 15 different weight loss programs involved 300 subjects. Each of the
ID: 2927000 • Letter: A
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.
(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; writing the correct test statistic, without supporting work, will receive no credit.
(c) Determine the P-value. Show all work; writing the correct P-value, without supporting work, will receive no credit.
(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.
Source of Variation
Sum of Squares
(SS)
Degrees of Freedom
(df)
Mean Square
(MS)
Factor
(Between)
42.5
Error
(Within)
Total
553.05
299
N/A
Source of Variation
Sum of Squares
(SS)
Degrees of Freedom
(df)
Mean Square
(MS)
Factor
(Between)
42.5
Error
(Within)
Total
553.05
299
N/A
Explanation / Answer
a)
b)from above test stat F =MSR/MSE =3.04/1.79 =1.69
c) for above test stat with (14,285) degree of freedom ; p vlaue =0.0561
d)as p vlaue is less then 0.1 level ; we reject null hypothesis
we have sufficient 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 of Variation Sum of Squares Degrees of Freedom Mean Square test stat F (SS) (df) (MS) factor(between) 42.5 15-1=14 42.5/14=3.04 3.04/1.79=1.69 error(with in) 553.05-42.5=510.55 299-14=285 510.55/285=1.79 total 553.05 299Related Questions
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