A new weight-reducing technique, consisting of a liquid protein diet, is currently

undergoing tests by the Canadian Food Inspection Agency before its introduction into

the market. The weights of a random sample of five people are recorded before they

are introduced to the liquid protein diet. The five individuals are then instructed to

follow the liquid protein diet for 3 weeks. At the end of this period, their weights (in

pounds) are again recorded. The results are listed in the table. Let 1 be the true

mean weight of individuals before starting the diet and let 2 be the true mean weight

of individuals after 3 weeks on the diet.

Person Weight Before Diet Weight After Diet

1 162 155

2 207 202

3 200 197

4 209 203

5 216 212

Summary information is as follows: d-bar = 5, sd-bar = 1.58.

Required:

Test to determine if the diet is effective at reducing weight. Use = .10.