The dean of nursing tells students being recruited for the incoming class that the schools graduates can

Question:

The dean of nursing tells students being recruited for the incoming class that the school’s graduates can expect to earn a mean weekly income of $775 one year after graduation. Assume that the dean’s statement is true and that the weekly salaries one year after graduation are normally distributed with a standard deviation of $115. If one graduate is randomly selected:
a. Describe the of the weekly salary being earned one year after graduation.
b. What is the probability that the selected graduate is making between $625 and $825? If a random sample of 25 graduates is selected:
c. Describe the mean weekly salary being earned one year after graduation.
d. What is the probability that the sample mean is between $710 and $785?
e. Why is the z-score used in answering parts b and d?
f. Why is the formula for z used in part d different from that used in part b?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...