Question

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 $152,000. Assume the standard deviation is $42,000. Suppose you take a simple random sample of 20 graduates. Round all answers to four decimal places if necessary.

What is the distribution of X ? X ~ N( , )

What is the distribution of ¯¯¯ X ? ¯¯¯ X ~ N( , )

For a single randomly selected graduate, find the probability that her salary is between $152,113 and $162,509.

For a simple random sample of 20 graduates, find the probability that the average salary is between $152,113 and $162,509.

For part d), is the assumption of normal necessary? Yes OR No

Answer #1

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 $165,000. Assume the
standard deviation is $37,000. Suppose you take a simple random
sample of 16 graduates. Round all answers to four decimal places if
necessary.
What is the distribution of X ? X ~ N( , )
What is the distribution of ¯ x ? ¯ x ~ N(...

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 $146,000. Assume the
standard deviation is $38,000. Suppose you take a simple random
sample of 46 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( , )...

usiness 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 $157,000. Assume the
standard deviation is $36,000. Suppose you take a simple random
sample of 16 graduates. Round all answers to four decimal places if
necessary.
What is the distribution of X? X ~ N( , )
What is the distribution of¯x?¯x ~ N( , )
For part b), is...

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 187000 dollars. Assume
the standard deviation is 38000 dollars. Suppose you take a simple
random sample of 81 graduates.
Find the probability that a single randomly selected policy has a
mean value between 180244.4 and 190800 dollars.
P(180244.4 < X < 190800) =
Find the probability that a random sample...

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 190000 dollars. Assume
the standard deviation is 39000 dollars. Suppose you take a simple
random sample of 96 graduates. Find the probability that a single
randomly selected salary is less than 195000 dollars. Answer = Find
the probability that a sample of size n = 96 n=96 is randomly
selected...

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 124000 dollars. Assume
the standard deviation is 37000 dollars. Suppose you take a simple
random sample of 74 graduates.
Find the probability that a single randomly selected salary is more
than 123000 dollars.
P(X > 123000) =
Find the probability that a sample of size n=74n=74 is randomly
selected with...

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 135000 dollars. Assume
the standard deviation is 38000 dollars. Suppose you take a simple
random sample of 66 graduates.
Find the probability that a single randomly selected salary is at
most 139000 dollars.
Answer =
Find the probability that a sample of size n=66n=66 is randomly
selected with a mean...

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 187000 dollars. Assume
the standard deviation is 42000 dollars. Suppose you take a simple
random sample of 62 graduates.
Find the probability that a single randomly selected salary is more
than 181000 dollars.
P(X > 181000) =
Find the probability that a sample of size n=62n=62 is randomly
selected with...

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 130000 dollars. Assume
the standard deviation is 31000 dollars. Suppose you take a simple
random sample of 61 graduates.
Find the probability that a single randomly selected salary has
a mean value between 122061.7 and 137144.5 dollars. P(122061.7 <
X < 137144.5) = (Enter your answers as numbers accurate to...

1. 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 162000 dollars.
Assume the standard deviation is 31000 dollars. Suppose you take a
simple random sample of 70 graduates.
Find the probability that a single randomly selected policy has a
mean value between 153848.5 and 170892.5 dollars.
P(153848.5 < X < 170892.5)
= (Enter your answers as numbers accurate to...

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