A large hospital administrators hiring firm tests job applicants who recently graduated from college. The test scores are normally distributed with a...

A large hospital administrators hiring firm tests job applicants who recently graduated from college. The test scores are normally distributed with a mean of 500 and a standard deviation of 50. Many hospitals considering placing a new hire in an upper level management position if the person scores in the upper 6 percent of the distribution. What is the lowest score a college graduate must earn to qualify for a responsible position?