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

Question 84
Multiple Choice
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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 σ=5000 miles \sigma = 5000 \text { miles } You sample 100 tires and will test the hypothesis H0:μ=50,000H _ { 0 } : \mu = 50,000
versus H1:μ<50,000H _ { 1 } : \mu < 50,000 You sample 100 tires and at the α=0.05\alpha = 0.05 level of significance.
Find the power of the test against the alternative μ1=49,000\mu _ { 1 } = 49,000

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

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