A dietician wants to see if there is any difference in the effectiveness of three diets. Eighteen people were randomly chosen for the test. Then each individual was randomly assigned to one of the three diets. Below you are given the total amount of weight lost (in pounds) in six months by each person.
Diet A
Diet B
Diet C
14
12
25
18
10
32
20
22
18
12
12
14
20
16
17
18
12
14
?
a.State the null and alternative hypotheses.b.Calculate the test statistic.c.What would you advise the dietician about the effectiveness of the three diets? Use a .01 level of significance.
What will be an ideal response?
?
| a. | H0: ?1 = ?2 = ?3 | |
| Ha: At least one mean is different | ||
| b. | F = 2.00 | |
| c. | p-value is greater than .10; do not reject the null hypothesis and conclude there is no evidence of a difference in the effectiveness of the three diets. | |
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