14. In a test of weight loss programs, 165 subjects were divided such that 33 subjects followed each of 5 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table...

Extracted text: 14. In a test of weight loss programs, 165 subjects were divided such that 33 subjects followed each of 5 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. F crit 69.07829 2.1064 | 0.082433 2.866740 Source of Variation SS Df MS F P-value Between Groups 276.313 4 5247.117 160 32.79448 5523.430 164 Within Groups Total Identify the null hypothesis, alternate hypothesis, test statistic, P-value, conclusion about the null hypothesis, and conclusion that addresses the original claim.