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 $126,000. Assume the standard deviation is $44,000. 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 a? a - N( c. For a single randomly selected graduate, find the probability that her salary is between $110,995 and $123,597.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 $126,000. Assume the standard
deviation is $44,000. 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(d
b. What is the distribution of x? - N(
c. For a single randomly selected graduate, find the
probability that her salary is between $110,995
and $123,597.
d. For a simple random sample of 13 graduates,
find the probability that the average salary is
between $110,995 and $123,597.
e. For part d), is the assumption of normal
necessary? O 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 $126,000. Assume the standard deviation is $44,000. 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(d b. What is the distribution of x? - N( c. For a single randomly selected graduate, find the probability that her salary is between $110,995 and $123,597. d. For a simple random sample of 13 graduates, find the probability that the average salary is between $110,995 and $123,597. e. For part d), is the assumption of normal necessary? O No Yes
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