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 $120,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 40 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X N( 120000 45000 b. What is the distribution of ? a N( 120000 7115 c. For a single randomly selected graduate, find the probability that her salary is between $123,027 and $131,085. d. For a simple random sample of 40 graduates, find the probability that the average salary is between $123,027 and $131,085. e. For part d), is the assumption of normal necessary? O YesO No

Question

Please answer C D and E 

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 $120,000. Assume the standard
deviation is $45,000. Suppose you take a simple random sample of 40 graduates. Round all answers to four
decimal places if necessary.
a. What is the distribution of X? X N( 120000
45000
b. What is the distribution of ? a N( 120000
7115
c. For a single randomly selected graduate, find the probability that her salary is between $123,027 and
$131,085.
d. For a simple random sample of 40 graduates, find the probability that the average salary is between
$123,027 and $131,085.
e. For part d), is the assumption of normal necessary? O YesO No
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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 $120,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 40 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X N( 120000 45000 b. What is the distribution of ? a N( 120000 7115 c. For a single randomly selected graduate, find the probability that her salary is between $123,027 and $131,085. d. For a simple random sample of 40 graduates, find the probability that the average salary is between $123,027 and $131,085. e. For part d), is the assumption of normal necessary? O YesO No

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