usiness Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, sume the mean annual salary for graduates 10 years after graduation is $178,000. Assume the standard eviation is $44,000. Suppose you take a simple random sample of 45 graduates. Round all answers to four ecimal places if necessary. a. What is the distribution of X? X- N( b. What is the distribution of ? a- N(

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 $178,000. Assume the standard
deviation is $44,000. Suppose you take a simple random sample of 45 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? - N
c. For a single randomly selected graduate, find the probability that her salary is between $169,561 and
$175,241.
d. For a simple random sample of 45 graduates, find the probability that the average salary is between
$169,561 and $175,241.
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 $178,000. Assume the standard deviation is $44,000. Suppose you take a simple random sample of 45 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? - N c. For a single randomly selected graduate, find the probability that her salary is between $169,561 and $175,241. d. For a simple random sample of 45 graduates, find the probability that the average salary is between $169,561 and $175,241. e. For part d), is the assumption of normal necessary? O No Yes > Next Question MacBook Pro
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