An IQ test is designed so that the mean is 100 and the standard deviation is 8 f

Question

An IQ test is designed so that the mean is 100 and the standard deviation is 8 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 2 IQ points of the true mean. Assume that sigma = 8 and determine the required sample size using technology. Then determine if t is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer)

Explanation / Answer

Solution:- Z =   2.575 (from standard normal table)
n=(Z*s/E)^2
= (2.575*(8/2))^2
= (2.575*4)^2
= 10.3^2
= 106.09

n = 106

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