Eight Subjects Were Weighed Before and After a New Three-Week $0.05$

question 58

Essay

Eight subjects were weighed before and after a new three-week "healthy" diet. At the $0.05$ level of significance, can it be concluded that a difference in weight resul (Weights are in pounds.)
$\begin{array}{l|cccccccc}\text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } \\\hline \text { Before } & 148 & 185 & 176 & 170 & 194 & 155 & 167 & 184 \\\text { After } & 151 & 189 & 169 & 171 & 189 & 153 & 168 & 177\end{array}$

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Definitions:

Electron Donors

Atoms, molecules, or ions that provide electrons to other atoms, molecules, or ions during chemical reactions, often resulting in the reduction of the latter.

Alkylamine

A compound resulting from the replacement of one or more hydrogen atoms of ammonia (NH3) with alkyl groups.

α-Carbon

The first carbon atom attached directly to a functional group in an organic molecule.

Chemical Shift

A term used in nuclear magnetic resonance (NMR) spectroscopy to describe the change in the resonance frequency of a nucleus due to its chemical environment.