solve this question and explain how to solve it (R studio is be allowed to use in this question)

the data for the R studio

Pounds

2.2

0.3

0.6

1.9

-1.2

0.1

-1.1

-1.2

1.1

2.7

1

-0.4

-0.2

0.1

-2

-2.8

-0.1

-1.1

-1.8

-2.9

-1.2

-1.2

-1.7

-0.9

-1.2

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Diet

1

1

1

1

1

2

2

2

2

2

3

3

3

3

3

4

4

4

4

4

5

5

5

5

5

3. [2/5 Points] DETAILS PREVIOUS ANSWERS 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? O Weight loss should be roughly normally distributed for each diet. The average weight loss should be roughly the same for each diet. O The variability in 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. 13.716 X 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. 4.431 d) What is the P-value from the ANOVA? Give your answer to four decimal places. 0.019 X e) What is the proper conclusion for NIH in this case? O 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. O 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. O 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. O Diet 5 has the largest mean weight loss because the F statistic is larger than the critical point. X