Question

In a test of weight loss programs, 120 subjects were divided such that 40 subjects followed each of 3 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.05 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 Fcrit Between Groups 91.990 2 45.99487 1.3743 0.257070 3.073763 Within Groups 3915.738 117 33.46785 Total 4007.728 119 Should the null hypothesis that all the diets have the same mean weight loss be rejected? A. No, because the P-value is greater than the significance level. O B. No, because the P-value is less than the significance level. C. Yes, because the P-value is less than the significance level. OD. Yes, because the P-value is greater than the significance level.

Answer 1

Answer: (A): No , because the P-value is greater than the significance level.

(We reject null hypothesis at alpha level of significance if

P-value <= significance level alpha )