Please help! This is the data. The NIH wants to compare the mean weight loss for
ID: 3223356 • Letter: P
Question
Please help!
This is the data.
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 9q3 data FOR R 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. Weight loss should be roughly normally distributed for each diet. The average weight loss should be roughly 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 evel 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? 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 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 Reject the claim that all diets are equivalent in terms of mean weight loss because the F statistic is larger than the critical point.Explanation / Answer
a)
Third option is correct.
b)
Following is the output of one way ANOVA:
The F test statistics is
F = 4.08
c)
The critical value of F is 4.431
d)
The p-value is: 0.0141
e)
Second option is correct.
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Diet1 5 4.6 0.92 2.687 Diet2 5 2.3 0.46 0.188 Diet3 5 -2.3 -0.46 0.903 Diet4 5 -5.1 -1.02 0.772 Diet5 5 -5.8 -1.16 0.563 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 16.6904 4 4.1726 4.080383 0.014077 4.43069 Within Groups 20.452 20 1.0226 Total 37.1424 24