A manufacturer of hearing-aid batteries has developed a new process that it believes will increase the usable life of each battery.Currently the usable lifetimes for these batteries have a mean of 264 hours.Test the hypothesis that the process increases the usable life of these batteries at the 0.01 level of significance.A sample of 50 batteries is tested and found to have a mean of 271.0 hours with a standard deviation of 16.9 hours.Assume that the population standard deviation is known to be 16.9 hours.