Question: Question 47: You believe the mean annual kilowatt usage of U.S. residential customers is less than 10,800. You do some research and find that a random sample of 30 residential customers has a mean kilowatt usage of 10.700, with a standard deviation of 280. You conduct a statistical experiment where \({{H}_{0}}:\mu \ge 10,800\) and \({{H}_{A}}:\mu <10,800\). At \(\alpha =0.01\), explain why you cannot reject \({{H}_{0}}\).