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 99% confident that the sample standard deviation s is within 1% of sigma .Is this sample size practical
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 99% confident that the sample standard deviation s is within 1% of sigma .Is this sample size practical
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Assume that the sample is a simple random sample obtained from a
a. The minimum sample size needed is

Transcribed Image Text:### Sample Size Requirements for Estimating Standard Deviation
**σ:** Standard deviation
**To be 95% confident that s is within:**
- **1% of the value of σ**, the sample size \( n \) should be at least **19,205**
- **5% of the value of σ**, the sample size \( n \) should be at least **768**
- **10% of the value of σ**, the sample size \( n \) should be at least **192**
- **20% of the value of σ**, the sample size \( n \) should be at least **48**
- **30% of the value of σ**, the sample size \( n \) should be at least **21**
- **40% of the value of σ**, the sample size \( n \) should be at least **12**
- **50% of the value of σ**, the sample size \( n \) should be at least **8**
**To be 99% confident that s is within:**
- **1% of the value of σ**, the sample size \( n \) should be at least **33,218**
- **5% of the value of σ**, the sample size \( n \) should be at least **1,336**
- **10% of the value of σ**, the sample size \( n \) should be at least **336**
- **20% of the value of σ**, the sample size \( n \) should be at least **85**
- **30% of the value of σ**, the sample size \( n \) should be at least **38**
- **40% of the value of σ**, the sample size \( n \) should be at least **22**
- **50% of the value of σ**, the sample size \( n \) should be at least **14**
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