SOLUTION: Please help me solve this problem. The standard IQ test has a mean of 97 and standard deviation of 17. We want to be 95% certain that we within 5IQ points of the true mean.

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Question 1128740: Please help me solve this problem.
The standard IQ test has a mean of 97 and standard deviation of 17. We want to be 95% certain that we within 5IQ points of the true mean. Determine the required sample size.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
confidence interval is z*sigma sqrt (n).
z=1.96, and CI is the +/- value, which is 5 here.
5=1.96*17sqrt(n)
square everything
25=3.84*289/n
n=3.8416*289/25=44.41 or sample size of 45

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