Refer to Exercise 11. A test of the hypotheses H0: = 50,000 versus H1:

Refer to Exercise 11.

A test of the hypotheses H0: μ = 50,000 versus H1: μ ≠ 50,000 will be made at the

α = 0.05 level of significance. Assume that the standard deviation of tire lifetimes is σ = 5000 and that the sample size is n = 100.

Find the power of the test against the alternative μ1 = 49,000.

Exercise 11

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.