Business Weekly conducted a survey of graduates from several top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $182,000. Assume the standard deviation is $35,000. Suppose you take a simple random sample of 16 graduates. Round all answers to four decimal places if necessary. What is the standard deviation of distribution of X? • What is the standard deviation of X? • For a single randomly selected graduate, find the probability that her salary is between $182,875 and $190,850. • For a simple random sample of 16 graduates, find the probability that the average salary is between $182,875 and $190,850. • For part d), is the assumption of normal necessary? Yes O No

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