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An IQ test is designed so that the mean is 100 and the standard deviation is 24 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 90​% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=24 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 24 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 90​% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=24 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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8.18 An IQ test is designed so that the mean is 100 and the standard deviation is 24 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 90​% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=24 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 0. (Round up to the nearest integer.)
Transcribed Image Text:The required sample size is 0. (Round up to the nearest integer.)
Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. O
Transcribed Image Text:Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. O
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