A local gym claims that, if you join today, you will lose at least 20 lbs in 6 months.  Below is a sample of 15 individuals who joined the gym 6 months ago.  Suppose we weigh these same individuals today to determine the accuracy of the gym's claim.  Conduct a hypothesis test to determine if there is evidence to support the claim that the average new member loses at least 20lbs in the 6 months after they first join. (Show work for full credit, 10 pts)     Weight on the day the member joined. (lbs) Weight of the member after 6 months. (lbs) Abigail 132 134 Bob 145 121 Caros 180 152 Devin 252 240 Emily 204 170 Fran 143 121 Gilberto 165 139 Hector 175 131 Irma 180 152 Jack 198 145 Kristen 152 125 Loren 221 192 Mike 205 182 Nancy 193 165 Oscar 184 154 Complete the hypothesis test below with a .02 level of significance.     A. State the null and alternative hypotheses       B. Specify the level of significance       C. Compute the value of the test statistic         D. Compute the p-value         E. Reject the null hypothesis if the p-value ≤α         F. Interpret the statistical conclusion in the context of the application

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