An IQ test is designed so that the mean is 100 and the standard deviation is 14 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 σ=14 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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An IQ test is designed so that the mean is 100 and the standard deviation is

14

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

σ=14

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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