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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $179,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 17 graduates. Round all answers to four decimal places if necessary.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of xx? xx ~ N(,)
  3. For a single randomly selected graduate, find the probability that her salary is between $170,129 and $175,986.
  4. For a simple random sample of 17 graduates, find the probability that the average salary is between $170,129 and $175,986.
  5. For part d), is the assumption of normal necessary? YesNo

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