Question: A new weight-reducing technique, consisting of a liquid protein diet, is currently undergoing tests by the Food and Drug Administration (FDA) before its introduction into the market. A typical test performed by the FDA is the following: 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 µ₁ be the true mean weight of individuals before starting the diet and let µ₂ be the true mean weight of individuals after 3 weeks on the diet.

Summary information is as follows: d-bar (d with a bar on top) = 5, sd = 1.58

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