An IQ test is designed so that the mean is 100 and the standard deviation is 17 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 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. Question content area bottom Part 1 The required sample size is 4949. (Round up to the nearest integer.) Part 2 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. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number.
An IQ test is designed so that the mean is 100 and the standard deviation is 17 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 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. Question content area bottom Part 1 The required sample size is 4949. (Round up to the nearest integer.) Part 2 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. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Question
An IQ test is designed so that the mean is 100 and the standard deviation is
sample size necessary to estimate the mean IQ score of statistics students such that it can be said with
17
for the population of normal adults. Find the 90%
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.Question content area bottom
Part 1
The required sample size is
4949.
(Round up to the nearest integer.)Part 2
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.No.
This number of IQ test scores is a fairly
small
number.Yes.
This number of IQ test scores is a fairly
large
number.Expert Solution
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