1. In a pilot study of weight loss among obese middle-aged women, a research team of behavioral psychologists, physicians, and dieticians monitors the diet and weight loss of five subjects. The following data are the subjects' weight losses (in pounds) across the four weeks of the pilot study. Test for a difference at = .01

Week

Subject 1 2 3 4

1 5 2 2 3

2 4 3 1 3

3 3 3 2 2

4 6 4 2 1

5 5 2 3 2

6 4 3 2 1

X₁ = 27 X₂ = 17 X₃ = 12 X₄ = 12 X_tot = 68

X₁² = 127 X₂² = 51 X₃² = 26 X₄² = 28 X_tot² = 232

STEP 1: State the null hypotheses in words. (1 point)

STEP 2: Set up the criteria for making a decision. That is, find the critical value.

(1 point)

STEP 3: Compute the appropriate test-statistic. SHOW YOUR WORK!

(7 points)

Source SS df MS F

Between (group)___ ___ ___ ___

Subject ___ ___

Within (error) ___ ___ ___

Total ___ ___

STEP 4: Evaluate the null hypothesis (based on your answers to the above steps).

(Circle One) Reject Fail to Reject (1 point)

STEP 5: Based on your evaluation of the null hypothesis, what is your conclusion?

(1 point)