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 = 0.05. Assume that the distribution is normally distributed.

ATHELETE 1 2 3 4 5 6 7 8 9

BEFORE 215 240 188 212 275 260 225 200 185

AFTER 225 245 188 210 282 275 230 195 190

Use any method but follow the PHANTOMS acronym

P - Parameter Statement

H - Hypotheses

A - Assumptions & Conditions

N - Name the Test

T - Test Statistic

O - Obtain the P-Value or Critical Value

M - Make a Decision about the Null Hypothesis

S - State Your Conclusion About the Claim