State your conclusion to the hypothesis test. A weight-lifting coach claims that

Question

State your conclusion to the hypothesis test. A weight-lifting coach claims that weight-lifters 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, on average. Use alpha = 0.01. State the conclusion. Assume that the distribution is normally distributed. We can reject the null hypothesis at the 1% level of significance. There is insufficient evidence to suggest that the supplement is not effective in increasing the athletes' strength, on average. There is sufficient evidence to suggest that the supplement is effective in increasing the athletes' strength, on average. There is insufficient evidence to suggest that the supplement is effective in increasing the athletes' strength, on average.

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Before and After
H0 : D = 0
HA : D < 0
Hypothesis test results:

p - value is greater than 0.01 so we do not reject Ho.

Hence,

Option D is correct.

Difference Mean Std. Err. DF T-Stat P-value Before - After -4.4444444 2.0419973 8 -2.1765182 0.0306

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