SOLUTION: An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of

Algebra.Com
Question 914141: An IQ test is designed so that the mean is 100 and the standard deviation is 21 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 7 IQ points of the true mean. Assume that Q = 21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
The required sample size is ____?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
ME = 1.96(21/sqrt(N))
7 = 1.96(21/sqrt(N))
N = (1.96*21/7)^2 = 34.57 (necessary to round Up) Sample size = 35
Note: Larger sample sizes result in smaller ME

RELATED QUESTIONS

An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the... (answered by Theo)
An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the... (answered by Theo)
An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the... (answered by rothauserc)
An IQ test is designed so that the mean is 100 and the standard deviation is 25 for the... (answered by rothauserc)
An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the... (answered by Theo)
An IQ test is designed so that the mean is 100 and the standard deviation is 16 for the... (answered by Boreal)
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the... (answered by Theo)
The standard IQ test is designed so that the mean is 100 and the standard deviation is... (answered by stanbon)
the IQ test is designed so that the mean is 100 and the standard deviation is 19 for the... (answered by Theo)