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Use the Traditional Method of Hypothesis Testing to Test the Given

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Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations.
-The table below shows the weights of seven subjects before and after following a particular diet for two months.
 Subject  A  B  C  D  E  F  G  Before 175174170196167190184 After 168165168201153192172\begin{array} { c | 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 } & 175 & 174 & 170 & 196 & 167 & 190 & 184 \\\hline \text { After } & 168 & 165 & 168 & 201 & 153 & 192 & 172\end{array} Using a 0.01 level of significance, test the claim that the diet is effective in reducing weight.


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