1. Forced vital capacity (FVC) is the amount of air that can be forced out of the lungs. A random sample of 9 female volleyball players has a mean FVC of 3.56 liters with a standard deviation of 0.17 liters. Suppose that you wish to use these results to test the following statistical question: Do female volleyball players have greater mean FVC than the general population of females of the same age, which is 3.4 liters? Use the steps outlined below to answer this question by testing the following hypotheses: H0: m<3.4 versus HA: m> 3.4.
(A – 8 pts.) Compute the value of the test statistic.
(B – 8 pts.) Determine a rejection region, or compute a p-value. Use a= 0.05.
(C – 8 pts.) Make a decision and express it verbally in terms of the lung capacity of female volleyball players.
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