an IQ test is designed so that the mean is 100 and the stand

an IQ test is designed so that the mean is 100 and the standard deviation is 11 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 95% confidence that the sample mean is within 8 IQ points of the true mean. assume that o=11 and determine the required sample size. n=??? round up to the nearest sample integer

Solution

Compute Sample Size
n = (Z a/2 * S.D / ME ) ^2
Z/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )
Standard Deviation ( S.D) = 11
ME =8
n = ( 1.96*11/8) ^2
= (21.56/8 ) ^2
= 7.26 ~ 8