A sports and fitness magazine reported that the average maximum bench-press of high school varsity football...

A sports and fitness magazine reported that the average maximum bench-press of high school varsity football players is equal to 185 pounds. A local high school football coach believes that this number is too high. He randomly samples 16 varsity high school football players from the state, which showed a mean maximum bench-press weight of 177 pounds, and a standard deviation of the sample equal to 12.5 pounds. Is the high school football coach’s claim correct? Test the hypothesis at alpha = 0.05. Assume a simple random sample and the distribution is normally distributed.

What is the P-value for this problem?

If using “Traditional Method,” the calculated value to compare to your alpha for this hypothesis test would be equal to what?

Use tables NOT excel functions.

Solutions

Expert Solution

Solution:- sample = 16, df = 15 (one tailed test)

Hypotheses :

H0 : μ = 185

H1 : μ > 185

test statistic = (177-185)/(12.5/sqrt(16)) = -2.56

P-value : 0.0109

The result is significant at p < .05.

orchestra answered 1 year ago

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