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# A Tire Company Claims That the Lifetimes of Its Tires $\sigma = 5000 \text { miles }$

Question 84
Multiple Choice
Question 84
Multiple Choice

## A tire company claims that the lifetimes of its tires average 50,000 miles. The standard deviation of tire lifetimes is known to be $\sigma = 5000 \text { miles }$ You sample 100 tires and will test the hypothesis $H _ { 0 } : \mu = 50,000$versus $H _ { 1 } : \mu < 50,000$ You sample 100 tires and at the $\alpha = 0.05$ level of significance.Find the power of the test against the alternative $\mu _ { 1 } = 49,000$

A) 1.645
B) 0.7630
C) 0.6406
D) 0.9989

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