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( Icirc frac14 , Iuml 2) Suppose it is known that Icirc frac14 3 4 liters A volleyball coa...

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

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 of X is approximately N(Î¼, Ïƒ2). Suppose it is known that Î¼ = 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 (coach€™s) hypothesis.
(c) Define the test statistic.
(d) Define a critical region for which Î± = 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:

(f) What is your conclusion?
(g) What is the approximate p-value of this test?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...