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.