Guidelines for a health insurance company say that the average hospitalization period after any surgeryshould not exceed 30 hours. The company studied 16 randomly chosen records of a certain hospital and found a mean hospital stay of 40 hours with a standard deviation of 20 hours. The company now thinks that the average hospitalization period after surgeryhas exceeded the guidelines. Test at= 0.01 if the company conclusion is true. Assume that the hospital stay time follows the Normal distribution.