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

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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 α\alpha =0.05= 0.05 . Assume that the distribution is normally distributed.
 Athlete 123456789 Before 215240188212275260225200185 After 225245188210282275230195190\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}

Discuss the influence of the war on terror on international relations and U.S. foreign policy specifically.
Trace developments in specific geopolitical conflicts, including Israeli-Palestinian tensions, and evaluate diplomatic efforts towards peace.
Understand the role of intelligence and espionage in shaping foreign policy and national security.
Understand the basic structure and purpose of Medicaid.

Definitions:

Defensive Self-Esteem

A form of self-esteem that is fragile and highly sensitive to criticism or perceived threats.

Self-Serving Bias

The common tendency to attribute one's successes to personal characteristics and one's failures to external factors.

Angry When Criticized

A behavioral response where individuals display anger or irritation in response to criticism, reflecting a possible sensitivity to negative feedback.

Ambiguous and Confusing

Descriptions or situations that are unclear, open to more than one interpretation, and cause confusion.

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