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 $141,000. Assume the standard deviation is $38,000. 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( b. What is the distribution of x? - NO c. For a single randomly selected graduate, find the probability that her salary is between $128,546 and $139,531. d. For a simple random sample of 12 graduates, find the probability that the average salary is between $128,546 and $139,531. e. For part d), is the assumption of normal necessary? No Yes

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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 $141,000. Assume the standard
deviation is $38,000. 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(
b. What is the distribution of x? x - N(
c. For a single randomly selected graduate, find the probability that her salary is between $128,546 and
$139,531.
d. For a simple random sample of 12 graduates, find the probability that the average salary is between
$128,546 and $139,531.
e. For part d), is the assumption of normal necessary? No Yes
Transcribed Image Text: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 $141,000. Assume the standard deviation is $38,000. 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( b. What is the distribution of x? x - N( c. For a single randomly selected graduate, find the probability that her salary is between $128,546 and $139,531. d. For a simple random sample of 12 graduates, find the probability that the average salary is between $128,546 and $139,531. e. For part d), is the assumption of normal necessary? No Yes
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