A New Weight-Reducing Technique, Consisting of a Liquid Protein Diet $\mu _ { 1 }$

question 32

Essay

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. 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 $\mu _ { 1 }$ be the true mean weight of individuals before starting the diet and let $\mu _ { 2 }$ be the true mean weight of individuals after 3 weeks on the diet.


$\begin{array}{ccc}\text { Person } & \text { Weight Before Diet } & \text { Weight After Diet } \\1 & 149 & 142 \\2 & 194 & 189 \\3 & 187 & 184 \\4 & 196 & 190 \\5 & 203 & 199\end{array}$

Summary information is as follows: $\bar { d } = 5 , s _ { d } = 1.58$ .

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

Learn how government interventions (price floors and ceilings) impact consumer and producer surpluses.

Understand the importance and methods of calculating producer surplus.

Learn the economic welfare implications of changes in surplus.

Understand the concept of consumer surplus and its relationship to price changes.

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