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Construct a Confidence Interval For μd\mu _ { \mathrm { d } }

question 148

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Construct a confidence interval for μd\mu _ { \mathrm { d } } , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-The table below shows the weights of 9 subjects before and after following a particular diet for two months.
 Subject  A  B  C  D  E  F  G  H  I  Before 168180157132202124190210171 After 162178145125171126180195163\begin{array}{r|ccccccccc}\text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } & \text { I } \\\hline \text { Before } & 168 & 180 & 157 & 132 & 202 & 124 & 190 & 210 & 171 \\\hline \text { After } & 162 & 178 & 145 & 125 & 171 & 126 & 180 & 195 & 163\end{array}

Construct a 99%99 \% confidence interval for the mean difference of the "before" minus "after" weights.

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