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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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 14. Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between 58 and 142?
(b) What percentage of people has an IQ score less than 72 or greater than 128?
(c) What percentage of people has an IQ score greater than 114?
(a) % (Type an integer or a decimal.)
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Transcribed Image Text:Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 14. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 58 and 142? (b) What percentage of people has an IQ score less than 72 or greater than 128? (c) What percentage of people has an IQ score greater than 114? (a) % (Type an integer or a decimal.)
Expert Solution
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Step 1

Given data

Mean, μ=100SD, σ=14

 

Empirical Rule

Approx. 68% of the data lies within 1σ of μ.  Approx. 95% of the data lie within 2σ of μ.  Approx. 99.7% of the data lie within 3σ of μ.

 

 

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