Test Hypotheses Regarding Matched-Pairs Data
-A Football Coach Claims That $\alpha$

question 43

Short Answer

Test Hypotheses Regarding Matched-Pairs Data
-A football coach claims that players can increase their strength by taking a certain supplement. 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 using the supplement, they are tested again. The new results are listed below. Test the claim that the supplement is effective in increasing the athletes' strength. Use $\alpha$ $= 0.05$ . Assume that the distribution is normally distributed.
$\begin{array}{l|ccccccccc}\text { Athlete } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \text { Before } & 215 & 240 & 188 & 212 & 275 & 260 & 225 & 200 & 185 \\\hline \text { After } & 225 & 245 & 188 & 210 & 282 & 275 & 230 & 195 & 190\end{array}$

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Definitions:

Productive Capacity

The maximum output that an economy can produce without increasing inflation, given its current level of resources.

Equity

Fairness or justice in the way people are treated or the distribution of resources, often distinguished from equality by focusing on needs and outcomes.

Efficiency

The optimal use of resources to achieve the best possible outcome or output without wasting resources.

Market Economy

An economic system in which supply and demand determine the production of goods and services.