An IQ test is designed so that the mean is 100 and the standard deviation is 17for 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 4 IQ points of the true mean. Assume that σ=17 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.   Part 1 The required sample size is. (enter your response here. )​(Round up to the nearest​ integer.) Part 2 Would it be reasonable to sample this number of​ students?   Yes. This number of IQ test scores is a fairly large number.   No. This number of IQ test scores is a fairly large number.   Yes. This number of IQ test scores is a fairly small number.   No. This number of IQ test scores is a fairly small number.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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An IQ test is designed so that the mean is 100 and the standard deviation is 17for 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 4 IQ points of the true mean. Assume that σ=17
and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
 
Part 1
The required sample size is. (enter your response here. )
​(Round up to the nearest​ integer.)
Part 2
Would it be reasonable to sample this number of​ students?
 
Yes. This number of IQ test scores is a fairly large number.
 
No. This number of IQ test scores is a fairly large number.
 
Yes. This number of IQ test scores is a fairly small number.
 
No. This number of IQ test scores is a fairly small number.
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