Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviations is within 20% of a. Is this sample size practical? a To be 95% confident that s is within of the value of a, the sample size n should be at least To be 99% confident that s is within 1% 5% of the value of a, the sample size 33,218 1,336 336 in should be at least The minimum sample size needed is 1% 5% 10% 20% 30% 40% 50% 21 12 10% 20% 30% 40% 85 38 22 19,205 768 192 48 8 50% 14 II

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard
deviations is within 20% of a. Is this sample size practical?
6
To be 95% confident that s is
within
of the value of a, the sample size
n should be at least
To be 99% confident that s is
within
of the value of a, the sample size
in should be at least
The minimum sample size needed is
1% 5%
19,205 768
1%
10% 20% 30% 40% 50%
48 21 12 8
30% 40% 50%
22 14
192
5% 10% 20%
33,218 1,336 336
85 38
C
Transcribed Image Text:Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviations is within 20% of a. Is this sample size practical? 6 To be 95% confident that s is within of the value of a, the sample size n should be at least To be 99% confident that s is within of the value of a, the sample size in should be at least The minimum sample size needed is 1% 5% 19,205 768 1% 10% 20% 30% 40% 50% 48 21 12 8 30% 40% 50% 22 14 192 5% 10% 20% 33,218 1,336 336 85 38 C
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