A Football Coach Claims That Players Can Increase Their Strength

question 125

Essay

A football coach claims that players can increase their strength by taking a certain supplement. To test thetheory, the coach randomly selects 9 athletes and gives them a strength test using a bench press. The results arelisted below. Thirty days later, after regular training using the supplement, they are tested again. The newresults are listed below. Test the claim that the supplement is effective in increasing the athletesʹ strength. Use α= 0.05. Assume that the distribution is normally distributed. $$\begin{array} { l | c c c c c c c c c } \text { Athlete } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \text { Before } & 215 & 240 & 188 & 212 & 275 & 260 & 225 & 200 & 185 \\\hline \text { After } & 225 & 245 & 188 & 210 & 282 & 275 & 230 & 195 & 190\end{array}$$

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Definitions:

Rapid Population Growth

A significant increase in the population of an area in a short period, which can lead to challenges such as resource depletion, unemployment, and environmental degradation.

Economic Growth Rate

A measure of the increase in an economy’s output, typically expressed as a percentage increase in real gross domestic product (GDP) over time.

Recessions

Short-lived economic contractions characterized by a downturn in trading and industrial output, consistently identified by a decline in GDP for two successive quarters

Civil War

A conflict between different factions or regions within the same country, often for political power, territorial control, or cultural differences.