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The Table Below Shows the Weights, in Pounds, of Seven α\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 α\alpha =0.01 level of significance. Assume that the differenced data come from a population that is normally distributed with no outliers.
 Subject  A  B  C  D  E  F  G  Before, Xi174193190151177182158 After, Yi167184188156163184146\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:

Third Party Conflict Resolution

involves an outside party helping to resolve a dispute between two other parties, often through mediation or arbitration.

Arbitration

A form of dispute resolution where an impartial third party, the arbitrator, makes a decision to resolve a disagreement between parties.

Process Control

The practice of monitoring and adjusting a process to ensure that it operates at its optimal performance level, often used in manufacturing and production.

Mediator

An impartial third party who facilitates a negotiation or conflict resolution process between disputing parties.

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