Question: Cable TV's Home Shopping Network (HSN) reports that the average age of its shoppers is 52 years. Suppose you want to test the null hypothesis,

Cable TV's Home Shopping Network (HSN) reports that the average age of its shoppers is 52 years. Suppose you want to test the null hypothesis, H0: μ = 52, using a sample of n = 50 cable TV shoppers.
a. Find the p-value of a two-tailed test if x̅ = 53.3 and s = 7.1.
b. Find the p-value of an upper-tailed test if x̅ = 53.3 and s = 7.1.
c. Find the p-value of a two-tailed test if x̅ = 53.3 and s = 10.4.
d. For each of the tests, parts a-c, give a value of α that will lead to a rejection of the null hypothesis.
e. If x̅ = 53.3, give a value of s that will yield a two-tailed p-value of .01 or less.

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