Business Weekly conducted a survey of graduates from 30 top MBA programs. Based on that, the mean annual salary for graduates 10 years after graduation is believed to be normally distributed with mean $173,000 and standard deviation $32,000. Suppose you take a simple random sample of 13 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 $161,087 and C170 0r

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Business Weekly conducted a survey of graduates from 30 top MBA programs. Based on that, the mean
annual salary for graduates 10 years after graduation is believed to be normally distributed with mean
$173,000 and standard deviation $32,000. Suppose you take a simple random sample of 13 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 $161,087 and
$170,025.
d. For a simple random sample of 13 graduates, find the probability that the average salary is between
$161,087 and $170,025.
e. Is the assumption of normality of X necessary for your answers to parts b and d? O NoO Yes
Transcribed Image Text:Business Weekly conducted a survey of graduates from 30 top MBA programs. Based on that, the mean annual salary for graduates 10 years after graduation is believed to be normally distributed with mean $173,000 and standard deviation $32,000. Suppose you take a simple random sample of 13 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 $161,087 and $170,025. d. For a simple random sample of 13 graduates, find the probability that the average salary is between $161,087 and $170,025. e. Is the assumption of normality of X necessary for your answers to parts b and d? O NoO Yes
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