In a study of the effectiveness of diet on weight loss, 20 people were randomly selected to participate in a dietprogram for 30 days. Test the claim that diet had no bearing on weight loss. Use α = 0.02.. Assume that thedistribution is normally distributed.

\begin{array}{l}\begin{array} { l | l | l | l | l | l | l | l | l | l | l | l | } \begin{array} { l } \text { Weight before Program } \\\text { (in pounds) }\end{array} & 178 & 210 & 156 & 188 & 193 & 225 & 190 & 165 & 168 & 200 \\\hline \begin{array} { l } \text { Weight after program } \\\text { (in pounds) }\end{array} & 182 & 205 & 156 & 190 & 183 & 220 & 195 & 155 & 165 & 200 \\\hline\end{array}\\\begin{array} { l | l | l | l | l | l | l | l | l | l | l | } \begin{array} { l } \text { Weight before Program } \\\text { (in pounds) Cont. }\end{array} & 186 & 172 & 166 & 184 & 225 & 145 & 208 & 214 & 148 & 174 \\\hline \begin{array} { l } \text { Weight after program } \\\text { (in pounds) Cont. }\end{array} & 180 & 173 & 165 & 186 & 240 & 138 & 203 & 203 & 142 & 174 \\\hline\end{array}\end{array}

Test the Hypothesis That p1>p2\mathrm { p } _ { 1 } > \mathrm { p } _ { 2 }p1​>p2​

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Test the Hypothesis That $\mathrm { p } _ { 1 } > \mathrm { p } _ { 2 }$

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