An IQ test is designed so that the mean is 100 and the standard deviation is 8 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 saidwith 99% confidence that the sample mean is within 2 1Q points of the true mean. Assume that o = 8 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real worldcalculation.The required sample size is(Round up to the nearest integer.)

Given: μ=100σ=8Margin of error, E=2Confidence level=99%

Answered: An IQ test is designed so that the mean…

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 10 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 2 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
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An IQ test is designed so that the mean is 100 and the standard deviation is 10 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 99% confidence that the sample mean is within 8 IQ points of the true mean. Assume that σ=10 and determine the required sample size.
An IQ test is designed so that the mean is 100 and the standard deviation is 9 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 percent confidence that the sample mean is within 2 IQ points of the true mean. Assume that o? = 81 and determine the required sample size.

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