A company that receives shipments of batteries tests a random sample of nine of them before agreeing to take a shipment. The company is concerned that the true mean lifetime for all batteries in the shipment should be at least 60 hours. From past experience, it is safe to conclude that the population distribution of lifetimes is normal with a standard deviation of 3 hours. For one particular shipment, the mean lifetime for a sample of nine batteries was 58.1 hours a Test, at the 1% level, the null hypothesis that the population mean lifetime is at least 60 hours. b. Find the power of a 1%-level test when the true mean lifetime of batteries is 59 hours. E Click the icon to view the standard normal distribution table. a. What are the null and alternative hypotheses for this test? ΟΒ Η, με 60 O A. Ho us60 Hi p> 60 Hi u< 60 OC. He =60 H p#60 OD. Ho: u= 60 H u= 58.1 For this test at the significance level a with sample mean x, hypothesized mean lg. population standard deviation o, sample size n, and z, or za/2. what is the form of the decision rule? x-Ho <-Z/2 or reject H if x- Ho O A. Reject Ho if >Za12 O B. Reject Họ if Ont –x x- Ho OC. Reject Ho if

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