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 $156,000. Assume the standard deviation is $30,000. Suppose you take a simple random sample of 11 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X ~ N( N b. What is the distribution of ? N c. For a single randomly selected graduate, find the probability that her salary is between $148,332 and $155,155.

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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 $156,000. Assume the standard
deviation is $30,000. Suppose you take a simple random sample of 11 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 ? ~ N
c. For a single randomly selected graduate, find the probability that her salary is between $148,332 and
$155,155.
d. For a simple random sample of 11 graduates, find the probability that the average salary is between
$148,332 and $155, 155.
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 $156,000. Assume the standard deviation is $30,000. Suppose you take a simple random sample of 11 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 ? ~ N c. For a single randomly selected graduate, find the probability that her salary is between $148,332 and $155,155. d. For a simple random sample of 11 graduates, find the probability that the average salary is between $148,332 and $155, 155. e. For part d), is the assumption of normal necessary? No Yes
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