Question

The following case applies to questions 1-3:

Clients can choose between three diets at a weight-loss treatment center. An experiment was performed to determine if there is a difference between the diets. Fifteen patients were randomly selected and divided evenly into three groups of five for each diet. After 30 days the weight change (in pounds) for each client was recorded as shown below.

Diet A: 4, 4, 5, 5, 7

Diet B: 5, 6, 6, 7, 7

Diet C: 7 ,8, 8, 9, 9

What is the alternative hypothesis?

1. None of the diet variances are equal
2. At least one of the diet means is not equal
3. All of the diet means are equal
4. All of the diet variances are equal
5. None of the diet means are equal

What is the critical value at the 0.05 level of significance?

1. 3.89
2. 19.4
3. 6.93
4. 3.29

What is the test statistics and does the experiment conclude that there is a difference in mean weight loss among the three diets at the 0.05 level of significance?

1. 2.25 and yes there is a difference in diet
2. 13.47 and no there is not a difference in diet
3. 13.47 and yes there is a difference in diet
4. 2.25 and no there is no difference in diet

Answer 1