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1) A sample of salaries of university assistant professors in the business department revealed a mean of $67,000 and a standard deviation of $3,000, The data indicate that the salaries are normally distributed. a) Using the empirical rule, what percentage of faculty earns at least $64,000 but no more than $73,000? b) Using the empirical rule, what salary range (2 numbers) will the middle 68.26 % earn? c) Using the empirical rule, what percentage of faculty earns less than $61,000 OR more than $73,000?

1) A sample of salaries of university assistant professors in the business department revealed a mean of $67,000 and a standard deviation of $3,000, The data indicate that the salaries are normally distributed. a) Using the empirical rule, what percentage of faculty earns at least $64,000 but no more than $73,000? b) Using the empirical rule, what salary range (2 numbers) will the middle 68.26 % earn? c) Using the empirical rule, what percentage of faculty earns less than $61,000 OR more than $73,000?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1) A sample of salaries of university assistant professors in the business department revealed a mean of $67,000 and a standard deviation of $3,000. The data indicate that the salaries are normally distributed. a) Using the empirical rule, what percentage of faculty earns at least $64,000 but no more than $73,000? b) Using the empirical rule, what salary range (2 numbers) will the middle 68.26% earn? c) Using the empirical rule, what percentage of faculty earns less than $61,000 OR more than $73,000? d) What is the z-score for an assistant professor who earns $62,500? e) If the professor is a low outlier, how much is the maximum the professor earns?
Transcribed Image Text:1) A sample of salaries of university assistant professors in the business department revealed a mean of $67,000 and a standard deviation of $3,000. The data indicate that the salaries are normally distributed. a) Using the empirical rule, what percentage of faculty earns at least $64,000 but no more than $73,000? b) Using the empirical rule, what salary range (2 numbers) will the middle 68.26% earn? c) Using the empirical rule, what percentage of faculty earns less than $61,000 OR more than $73,000? d) What is the z-score for an assistant professor who earns $62,500? e) If the professor is a low outlier, how much is the maximum the professor earns?
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