a. What is the distribution of X? X - N( b. What is the distribution of æ? ¤ - N( c. For a single randomly selected graduate, find the probability that her salary is between $194,035 and $214,090.

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 $188,000. Assume the standard
deviation is $45,000. Suppose you take a simple random sample of 8 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 $194,035 and
$214,090.
d. For a simple random sample of 8 graduates, find the probability that the average salary is between
$194,035 and $214,090.
e. For part d), is the assumption of normal necessary? O Yeso No
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 $188,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 8 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 $194,035 and $214,090. d. For a simple random sample of 8 graduates, find the probability that the average salary is between $194,035 and $214,090. e. For part d), is the assumption of normal necessary? O Yeso No
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