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 $132,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 37 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 132000 31000 b. What is the distribution of ? T - N( 132000 c. For a single randomly selected graduate, find the probability that her salary is between $129,255 and $133,703. 0.3358 5096.3686 d. For a simple random sample of 37 graduates, find the probability that the average salary is between $129,255 and $133,703. e. For part d), is the assumption of normal necessary? O YesO No o

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