An IQ test is designed so that the mean is 100 and the standard deviation is 20for 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 8 IQ points of the true mean. Assume that σ=20 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
An IQ test is designed so that the mean is 100 and the standard deviation is 20for 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 8 IQ points of the true mean. Assume that σ=20 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
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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An IQ test is designed so that the mean is 100 and the standard deviation is 20for 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 8 IQ points of the true mean. Assume that σ=20 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 ______
(Round up to the nearest integer.)
(Round up to the nearest integer.)
Would it be reasonable to sample this number of students?
No.This number of IQ test scores is a fairly large number.
Yes. This number of IQ test scores is a fairly small number.
Yes. This number of IQ test scores is a fairly large number.
No. This number of IQ test scores is a fairly small number.
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