Question: A manufacturer of batteries claims that the mean life of his product will exceed 30 hours. A customer wants to buy a large quantity of these batteries if the claim is true. A random sample of 36 was tested and produced a mean of 34 hours. If the standard deviation is 5 hours, and \(H_{0}\) is: \(H_{0}: \mu \leq 30\), will the batteries be purchased at :

1. \(\alpha \leq 0.05\). b) \(\alpha \leq 0.01\) ?

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