Question: A manufacturer of flashlight batteries claims that the mean life of his product will exceed 30 hours. A company is willing to buy a very large quantity of batteries if the claim is true. A random sample of 36 batteries is tested, and it is found that the sample mean is 34 hours. If the population of batteries has a standard deviation of five hours, and H₀ is that mu is less than or equal to 30, for what values of (alpha) will the batteries be purchased.