Question: These are the weight losses of study sample who were on three different diets after one month. Given the following sample information, use the F test to test the hypothesis that the treatment means are equal at the .01 significance level.

Atkins Jenny Craig Weight Watchers

Atkins Weight Watchers Jenny Craig

3 9 6

2 6 3

5 5 5

1 6 5

3 8 5

1 5 4

4 1

7 5

6

4

Ho: u1= u2 = u3

Ha: at least one of the means is not the same.

a. State the decision rule? When will you reject Ho? (Make a statement such as: Reject Ho if F > the critical value. You must indicate the specific critical value for this problem.)

b. What is the value of the test statistic.

c. What is your decision regarding Ho? (Reject or Do Not Reject Ho?)