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Choose the One Alternative That Best Completes the Statement or Answers

question 4

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-A football coach believes that a player 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 $\mathrm { E }$ , they are tested again. The new results are listed below. Use the Wilcoxon signed-ranks test to find the critical value to test the hypothesis that the vitamin E supplement is effective in increasing the athletes' strength. Use $\alpha = 0.05$ .
$\begin{array}{lccccccccc}\text { Athlete } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \text { Before } & 182 & 228 & 195 & 246 & 276 & 242 & 203 & 217 & 274 \\\text { After } & 192 & 233 & 195 & 244 & 283 & 257 & 208 & 212 & 279\end{array}$

Definitions:

Organic Reaction

A chemical reaction involving organic compounds, contributing to the formation or breaking of carbon-based chemical bonds.

Cycloaddition

A chemical reaction in which two or more unsaturated molecules (or parts of the same molecule) combine to form a cyclic product.

HOMO/LUMO Interaction

Refers to the interaction between the Highest Occupied Molecular Orbital (HOMO) of one molecule and the Lowest Unoccupied Molecular Orbital (LUMO) of another molecule, important in determining the outcome of chemical reactions.

Cycloocta-1,5-diene

A cycloalkene with eight carbon atoms and two double bonds located at the first and fifth positions.