The director for Weight Watchers International wants to determine if the changes in their program results in better weight loss. She selected 25 Weight Watcher members at random and compared their weight 6 months later to weight at the start of the program. Here are the results: (The weight in the column labeled \"After\" represents their weights six months later and \"Before\" represents their weight at the start of the six-month period.) The director used .05 as the significance level. Use Excel to test H0: After - Before 0 vs. HA: After - Before < 0. For each paired difference, compute After - Before. In Data Analysis, t-Test: Paired Two Sample for means, select the After data for Variable 1 Range. Note that the critical value output by Data Analysis for this test is always positive. In this problem, the sign of the critical value is negative corresponding to a 1-tailed test with lower reject region and negative lower critical value. a. b. c. d. e. State the hypotheses. State the decision rule. Compute the test statistic What is your conclusion? What is the p-value. What does it mean? Perso n 1 2 3 4 5 6 7 8 9 10 11 12 13 Befor e 176 192 185 177 196 178 196 181 158 201 191 193 176 After 164 191 176 176 185 169 196 172 158 193 185 189 175 14 15 16 17 18 19 20 21 22 23 24 25 212 177 183 210 198 157 213 161 177 210 192 178 210 173 180 204 192 152 200 161 166 203 186 170