Answered: Suppose IQ scores are normally…

Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 150 people has a mean IQ between 102 and 103?

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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Question

Suppose IQ scores are normally distributed with
a mean of 100 and a standard deviation
of 15. What is the probability a random sample
of 150 people has a mean IQ between 102 and
103?

Expert Solution

Step 1

$G I V E N D A T A, I Q s c o r e s a r e n o r m a l l y d i s t r i b u t e d μ = 100 σ = 15 n = 150 p r o b a b i l i t y a r a n d o m s a m p l e o f 150 p e o p l e h a s a m e a n I Q b e t w e e n 102 a n d 103 = ?$

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