In a test of weight loss programs, 198 subjects were divided such that 33 subjects followed each of 6 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.025 significance level to test the claim that the mean weight loss is the same for the different diets.
| Source of variation |
SS |
df |
MS |
F |
P-value |
F crit |
| Between Groups |
512.031 |
5 |
102.40626 |
2.9672 |
0.013251 |
2.633126 |
| Within Groups |
6626.450 |
192 |
34.51276 |
|
|
|
| Total |
7138.481 |
197 |
|
|
|
|
Should the null hypothesis that all diets have the same mean weight loss be rejected?