MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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2.

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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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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