-Identify why you choose to perform the statistical test (Signtest, Wilcoxon test, Kruskal-Wallis test).
-Identify the null hypothesis, Ho, and the alternativehypothesis, Ha.
-Determine whether the hypothesis test is left-tailed,right-tailed, or two-tailed.
-Find the critical value(s) and identify the rejectionregion(s).
-Find the appropriate standardized test statistic. Ifconvenient, use technology.
-Decide whether to reject or fail to reject the nullhypothesis.
-Interpret the decision in the context of the originalclaim.
A weight-lifting coach claims thatweight-lifters can increase their strength by taking vitamin E. Totest the theory, the coach randomly selects 9 athletes and givesthem a strength test using a bench press. Thirty days later, afterregular training supplemented by vitamin E, they are tested again.The results are listed below. Use the Wilcoxon signed-rank test totest the claim that the vitamin E supplement is effective inincreasing athletes' strength. Use ? = 0.05.
Athlete | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Before | 185 | 241 | 251 | 187 | 216 | 210 | 204 | 219 | 183 |
After | 195 | 246 | 251 | 185 | 223 | 225 | 209 | 214 | 188 |
