A weight-lifting coach claims that a weight-lifter can increase strength by taking vitamin E. To test the theory, the coach randomly selects 9 athletes and gives them a strength test using a bench press. Thirty days later, after regular training supplemented by vitamin E, they are given the same test again. The weights pressed (in pounds) before and after the vitamin E regimen are shown below. Use the Wilcoxon signed rank test to test the claim that the vitamin E supplement is effective in increasing the athletes' strength. Use ? = 0.05.
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