A batter manufacturer claims that its AAA size batteries have a true average life of 1500 hours of use and a standard deviation of 75 hours. You observe that the last few such batteries you purchased have lasted much less time. Hence, you decide to test if there is evidence at alpa = .06 that the true average life is less than 1500 hours of use. To do so you randomly select 64 batteries.n

If the p-value of the test is .05, would you reject the null hypothesis in favor of the alternative hypothesis? What was the value of the sample mean?