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 $167,000. Assume the standard deviation is $34,000. Suppose you take a simple random sample of 13 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X ~ N( b. What is the distribution of x? ~ N( c. For a single randomly selected graduate, find the probability that her salary is between $162,555 and $175,070. d. For a simple random sample of 13 graduates, find the probability that the average salary is between $162,555 and $175,070. e. For part d), is the assumption of normal necessary? OYesONo

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