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 $172,000. Assume the standard deviation is $44,000. Suppose you take a simple random sample of 12 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 172000 44000 b. What is the distribution of I? T - N( 172000 c. For a single randomly selected graduate, find the probability that her salary is between $159,647 and $167,698. 0.0716 12701.7059 d. For a simple random sample of 12 graduates, find the probability that the average salary is between $159,647 and $167,698. 0.2020 e. For part d), is the assumption of normal necessary? O YesO No

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