The Table Below Shows the Weights, in Pounds, of Seven $\alpha$

question 57

Essay

The table below shows the weights, in pounds, of seven subjects before and after following a particular diet program for three months. Does the sample evidence suggest that the diet program is effective in reducing weight? Use the $\alpha$ =0.01 level of significance. Assume that the differenced data come from a population that is normally distributed with no outliers.
$\begin{array} { r | c c c c c c c } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\\hline \text { Before, } \mathrm { X } _ { \mathrm { i } } & 174 & 193 & 190 & 151 & 177 & 182 & 158 \\\hline \text { After, } \mathrm { Y } _ { \mathrm { i } } & 167 & 184 & 188 & 156 & 163 & 184 & 146\end{array}$

---

Definitions:

Government Regulate

The activities undertaken by government authorities to control or oversee specific industries, practices, or market activities usually to ensure public welfare or fair market competition.

Economic System

The structure of methods and principles a society uses to produce and distribute goods and services.

Price Mechanism

The way in which the forces of supply and demand determine the price of goods and services in a free market.

Efficient Allocation

The process where resources are distributed in a manner that maximizes the net benefits attained through their use.