ssary to estimate the mean IQ score of statistics students such that it can be said with 95%cconfidence that the sample mean is ±4 IQ points of the true mean. Assume that the standard deviation is 21 and determine the required sample size.
ssary to estimate the mean IQ score of statistics students such that it can be said with 95%cconfidence that the sample mean is ±4 IQ points of the true mean. Assume that the standard deviation is 21 and determine the required sample size.
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
Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with
95%cconfidence that the sample mean is ±4 IQ points of the true mean. Assume that the standard deviation is 21 and determine the required sample size.
n=___
(Round up to the nearest integer.) Expert Solution
Step 1
From the information given in the question, we have:
From the standard normal normal, for 95% confidence level, the z critical value is 1.96.
The formula for required sample size is as;
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