A tire company claims that the lifetimes of its tires average 50,000 miles. The standard deviation of
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A tire company claims that the lifetimes of its tires average 50,000 miles. The standard deviation of tire lifetimes is known to be σ = 5000 miles. You sample 100 tires and will test the hypotheses H0: μ = 50,000 versus H1: μ < 50,000 at the α = 0.05 level of significance.
a. Find the power of the test against the alternative
μ1 = 49,500.
b. Find the power of the test against the alternative
μ1 = 49,000.
c. Find the power of the test against the alternative μ1 = 49,500 if the test is made at level α = 0.01.
d. Find the power of the test against the alternative ????1 = 49,000 if the test is made at level α = 0.01.
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