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 $181,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 39 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 a? x - N( c. For a single randomly selected graduate, find the probability that her salary is between $180,714 and $188,276. d. For a simple random sample of 39 graduates, find the probability that the average salary is between $180,714 and $188,276. e. For part d), is the assumption of normal necessary? O No Yes
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 $181,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 39 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 a? x - N( c. For a single randomly selected graduate, find the probability that her salary is between $180,714 and $188,276. d. For a simple random sample of 39 graduates, find the probability that the average salary is between $180,714 and $188,276. e. For part d), is the assumption of normal necessary? O No Yes
MATLAB: An Introduction with Applications
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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 $181,000. Assume the standard
deviation is $32,000. Suppose you take a simple random sample of 39 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 a? - NO
c. For a single randomly selected graduate, find the probability that her salary is between $180,714 and
$188,276.
d. For a simple random sample of 39 graduates, find the probability that the average salary is between
$180,714 and $188,276.
e. For part d), is the assumption of normal necessary? O No Yes
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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 $181,000. Assume the standard
deviation is $32,000. Suppose you take a simple random sample of 39 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 a? - NO
c. For a single randomly selected graduate, find the probability that her salary is between $180,714 and
$188,276.
d. For a simple random sample of 39 graduates, find the probability that the average salary is between
$180,714 and $188,276.
e. For part d), is the assumption of normal necessary? O No Yes
Question Help: Message instructor
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Step 1: Define central limit theorem
VIEWStep 2: a. Find the distribution of X
VIEWStep 3: b. Find the distribution of X-bar:
VIEWStep 4: c. Find probability that the salary of a randomly selected graduate is between $180,714 and $188,276
VIEWStep 5: d. Find probability that the average salary of 39 randlom graduates is between $180,714 and $188,276
VIEWStep 6: e. Check whether normal assumption necessary for part d.
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