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 deviation s is within 50% of o. Is this sample size practical? To be 95% confident that s is within of the value of o, the sample size In should be at least To be 99% confident that s is within of the value of o, the sample size In should be at least The minimum sample size needed is 1% 5% 10% 20% 30% 40% 50% 19,205 768 192 48 33,218 1,336 336 21 12 1% 5% 10% 20% 30% 40% 50% ... 85 38 22 8 14

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 deviation s is within 50% of a.
Is this sample size practical?
σ
To be 95% confident that s is
within
of the value of o, the sample size
In should be at least
To be 99% confident that s is
within
of the value of o, the sample size
In should be at least
The minimum sample size needed is
1%
5%
19,205 768
10% 20% 30% 40% 50%
192 48 21
1% 5% 10% 20% 30% 40% 50%
33,218 1,336 336
85
12 8
38
22 14
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 deviation s is within 50% of a. Is this sample size practical? σ To be 95% confident that s is within of the value of o, the sample size In should be at least To be 99% confident that s is within of the value of o, the sample size In should be at least The minimum sample size needed is 1% 5% 19,205 768 10% 20% 30% 40% 50% 192 48 21 1% 5% 10% 20% 30% 40% 50% 33,218 1,336 336 85 12 8 38 22 14
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