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 $173,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(_____,______) What is the distribution of ¯xx¯? ¯xx¯ ~ N(____,_____) For a single randomly selected graduate, find the probability that her salary is between $176,006 and $185,837. ________ For a simple random sample of 15 graduates, find the probability that the average salary is between $176,006 and $185,837. ___________

MATLAB: An Introduction with Applications
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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 10 years after graduation is $173,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 15 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 $176,006 and $185,837. ________
  4. For a simple random sample of 15 graduates, find the probability that the average salary is between $176,006 and $185,837. ___________
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