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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?

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