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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:

Abdominopelvic Cavity

The body cavity that houses the abdomen and pelvic organs, including the stomach, liver, spleen, intestines, and reproductive organs.

Urinary Bladder

A hollow organ in the lower abdomen that stores urine from the kidneys before it is excreted.

Spleen

An organ found in virtually all vertebrates which filters blood, helps fight certain kinds of bacteria that cause pneumonia and meningitis, and removes old red blood cells.

Gallbladder

A small, pear-shaped organ located beneath the liver that stores and concentrates bile produced by the liver.

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