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In a Study of the Effectiveness of Diet on Weight

Question 47

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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.  Weight before Program  (in pounds) 178210156188193225190165168200 Weight after program  (in pounds) 182205156190183220195155165200 Weight before Program  (in pounds) Cont. 186172166184225145208214148174 Weight after program  (in pounds) Cont. 180173165186240138203203142174\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}

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