# 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 distribution 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?

a. Describe the distribution 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?

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