Describe distribution of weekly salaries being earned

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The Dean of Nursing tells students being recruited for the incoming class that one year after graduation, the university's graduates can expect to be earning a mean weekly income of $675. 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 $85. If one graduate is randomly selected:

a) Describe the distribution of the weekly salaries being earned one year after graduation.
b) What is the probability that the selected graduate is making between $550 and $825? If a random sample of 25 graduates is selected:
c) Describe the distribution of mean weekly salaries being earned 1 year after graduation
d) What is the probability that the sample mean is between $650 and $705?
e) Why is the z-score used in part b and d?
f) Why is the formula for z-score used in part d different from that used in part b.

Reference no: EM13146196

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