Let X equal the forced vital capacity (FVC) in liters for a female college student. (The

QUESTION:

Let X equal the forced vital capacity (FVC) in liters for a female college student. (The FVC is the amount of air that a student can force out of her lungs.) Assume that the distribution of X is approximately N(, 2). Suppose it is known that = 3.4 liters. A volleyball coach claims that the FVC of volleyball players is greater than 3.4. She plans to test her claim with a random sample of size n = 9. (a) Define the null hypothesis. (b) Define the alternative (coachs) hypothesis. (c) Define the test statistic. (d) Define a critical region for which = 0.05. Draw a figure illustrating your critical region. (e) Calculate the value of the test statistic given that the random sample yielded the following FVCs: 3.4 3.6 3.8 3.3 3.4 3.5 3.7 3.6 3.7 (f) What is your conclusion? (g) What is the approximate p-value of this test?