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A Weight-Lifting Coach Claims That a Weight-Lifter Can Increase Strength α\alpha

question 68

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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. The results are listed
Below. Thirty days later, after regular training supplemented by vitamin E, they are tested again. The new
Results are listed below. Find the critical value for a Wilcoxon signed-rank test to test the claim that the vitamin
E supplement is effective in increasing the athletesʹ strength. Use α\alpha = 0.05.  Athlete 123456789 Befor 230233247202201193232239198 After 240238247200208208237234203\begin{array} { l c c c c c c c c c } \hline \text { Athlete } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \text { Befor } & 230 & 233 & 247 & 202 & 201 & 193 & 232 & 239 & 198 \\\text { After } & 240 & 238 & 247 & 200 & 208 & 208 & 237 & 234 & 203 \\\hline\end{array}


Definitions:

Loss

A decrease in monetary value, often referring to the difference between the purchase price and the lower selling price of an asset.

S&P 500 Index

A market index observing the activity of the top 500 large-scale corporations traded on US stock exchanges.

Futures Price

The agreed price for the assets to be traded in the future as determined in a futures contract.

Profit

The financial gain obtained when the revenue generated from business activities exceeds the expenses, costs, and taxes needed to sustain the activity.

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