The admissions committees for most masters of business administration (MBA) programsrequire the Graduate Management Admission Test (GMAT) as part of the application for newstudents. It has been shown that the scores on the GMAT are normally distributed with a meanof 542.3 and a standard deviation of 120.54. The minimum GMAT score required for admissionto the MAcc program in the School of Accountancy at BYU is 500, but it is rare for students withscores less than 600 to be admitted.

1. Consider a simple random sample of n=15 students taking the GMAT. What is the mean of thedistribution of sample mean scores for all such samples? 2. What is the standard deviation of the distribution of sample mean scores for all such samples?