The NIH wants to compare the mean weight loss for five different diets. They measure the weight loss (in pounds) of 5 men assigned to each of the diets for one month. The resulting data set is below. Use this file: Assignment 9113 data FOR R a) which of the following is NOT an assumption that should be checked before performing an ANOVA? -'\"- The average weight loss should be rougth the same for each diet. -"\"- Weight loss should be roughly normally distributed for each diet. -'\"- The variability in weight loss should be rougth the same for each diet. b) What is the F statistic for the ANOVA? Give your answer to at least three decimal places. c) Using a 0.01 level of signicance, what is the critical point that one would compare to the F statistic in order to make a conclusion? Give your answer to three decimal places. d) What is the P-value from the ANOVA? Give your answer to four decimal places. e) What is the proper conclusion for NIH in this case? -'\"- Reject the claim that all diets are equivalent in terms of mean weight loss because the F statistic is larger than the critical point. r\". Fail to reject the claim that all diets are equivalent in terms of mean weight loss because the F statistic is larger than the critical point. r\". Diet 5 has the largest mean weight loss because the F statistic is larger than the critical point. -'\"- Diet 4 has the largest mean weight loss because the F statistic is larger than the critical point. r\". Fail to reject the claim that all diets are equivalent in terms of mean weight loss because the F statistic is smaller than the critical point. Pounds, Diet 2.2,1 0.3,1 0.6,1 1.9,1 -1.2,1 0.1, 2 -1.1, 2 -1.2,2 1.1, 2 2.7,2 1,3 -0.4,3 -0.2,3 0.1,3 -2,3 -2.8,4 -0. 1, 4 -1. 1, 4 -1.8, 4 -2.9,4 -1.2,5 -1.2,5 -1.7,5 -0.9,5 -1.2,5