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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 $141,000. Assume the standard deviation is $38,000. Suppose you take a simple random sample of 12 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? - NO c. For a single randomly selected graduate, find the probability that her salary is between $128,546 and $139,531. d. For a simple random sample of 12 graduates, find the probability that the average salary is between $128,546 and $139,531. e. For part d), is the assumption of normal necessary? No Yes

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 $141,000. Assume the standard deviation is $38,000. Suppose you take a simple random sample of 12 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? - NO c. For a single randomly selected graduate, find the probability that her salary is between $128,546 and $139,531. d. For a simple random sample of 12 graduates, find the probability that the average salary is between $128,546 and $139,531. e. For part d), is the assumption of normal necessary? No Yes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 $141,000. Assume the standard deviation is $38,000. Suppose you take a simple random sample of 12 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 $128,546 and $139,531. d. For a simple random sample of 12 graduates, find the probability that the average salary is between $128,546 and $139,531. e. For part d), is the assumption of normal necessary? 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 $141,000. Assume the standard deviation is $38,000. Suppose you take a simple random sample of 12 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 $128,546 and $139,531. d. For a simple random sample of 12 graduates, find the probability that the average salary is between $128,546 and $139,531. e. For part d), is the assumption of normal necessary? No Yes
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