The admissions department of University A (UA) claims that the starting salaries of their MBA graduates are normally distributed with a mean of $92,000 and a standard deviation of $15,700. Similarly, the admissions department of University B (UB) claims that the starting salaries of their MBA graduates are normally distributed with a mean of $90,000 and a standard deviation of $19,500. To test these claims a random sample of 50 UA MBAs and a random sample of 60 UB MBAs are selected.
For University A, what are the mean and standard deviation of the sample mean?