You are the owner of an entertainment center who recently surveyed a random sample of 300 customers. You would like to determine whether or not the mean age of your customers is over 35. If so, you plan to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose you found that the sample mean was 35.5 years old and population standard deviation was 5 years. Perform a statistical test at =0.05 to help you decide what course of action to take.