Problem 4: A physical education director claims by taking special vitamin, a weight lifter can increase his strength. Ten athletes are selected and given a test of strength using the standard bench press. After 2 weeks of regular training, supplemented with the vitamin, they tested again. Test the effectiveness of the vitamin regimen at 5% level of significance. Each value in these data represents the maximum number of pounds the athlete can bench-press. Athlete 1 2 3 4 5 6 7 8 9 10 Before 210 230 182 205 262 253 219 216 213 228 After 219 236 179 204 270 250 222 216 220 217 a. State the null and alternative hypotheses (2) b. Select the level of significance (1) c. Identify the appropriate test-statistic and determine whether it is one-tailed or two-tailed (2) d. Determine the critical value and the rejection region/s (1) e. Compute the test statistic (1) f. State the decision rule (1) g. Conclusion (2)