A research study was conducted to examine the clinical efficacy of a new antidepressant. Depressed patients were randomly assigned to one of three groups: a placebo group, a group that received a low dose of the drug, and a group that received a moderate dose of the drug. After four weeks of treatment, the patients completed the Beck Depression Inventory. The higher the score, the more depressed the patient. The data are presented below. Compute the appropriate test.

Placebo    Low Dose  Moderate Dose

38                 22                14

47                19                26

39                  8                  11

25                  23               18

42                  31                 5

1. What is your computed answer? 2275.733

2. What would be the null hypothesis in this study?

3. What would be the alternate hypothesis?

4. What probability level did you choose and why? 0

5. What is your F_crit? 11.26657

6. Is there a significant difference between the groups? No

7. If there is a significant difference, where specifically are the differences?  No

9. Each SS_BG portion must be divided by _____.

1. MS_{BG -} 742.4667

2. MS_{WG -} 65.9 

3. SS_tot

4. Degrees of freedom - 2