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.

diet 1,diet 2,diet 3,diet 4,diet 5
-0.5,1.3,-1.2,-1.2,-1.1
0.4,-0.2,0,-1.4,0.7
0.7,-0.8,0.4,-1.2,0.2
-0.9,0.9,-0.8,-2.5,-1.3
0.7,-0.3,-1.6,-1,0.3
a) which of the following is not an assumption that should be checked before performing an anova?

- the variability in weight loss should be roughly the same for each diet.

- the average weight loss should be roughly the same for each diet.

- weight loss should be roughly normally distributed 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 significance, 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?

- diet 5 has the largest mean weight loss because the f statistic is larger than the critical point.
- reject the claim that all diets are equivalent in terms of mean weight loss because the f statistic is larger than the critical point.
- 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.
- 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.
- diet 4 has the largest mean weight loss because the f statistic is larger than the critical point.