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 $190,000. Assume the standard deviation is $34,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary. For a simple random sample of 15 graduates, find the probability that the average salary is between $180,932 and $187,421.  For part d), is the assumption of normal necessary? NoYes

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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 $190,000. Assume the standard deviation is $34,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary.

  1. For a simple random sample of 15 graduates, find the probability that the average salary is between $180,932 and $187,421. 
  2. For part d), is the assumption of normal necessary? NoYes
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