2. An experiment is required to estimate the standard deviation of a process to within ±20% of its true value with 95% confidence, i.e. a confidence interval for the population standard deviation of the following form is required: P(s(1 − 8) < σ < s(1+8)) = 0.95 where s will be determined from the sample data. Calculate the sample size for the experiment assuming that the distribution is normal.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
2. An experiment is required to estimate the standard deviation of a process to within ±20% of its true
value with 95% confidence, i.e. a confidence interval for the population standard deviation of the
following form is required:
P(s(1 − 8) < σ < s(1+8)) = 0.95
where s will be determined from the sample data. Calculate the sample size for the experiment
assuming that the distribution is normal.
Transcribed Image Text:2. An experiment is required to estimate the standard deviation of a process to within ±20% of its true value with 95% confidence, i.e. a confidence interval for the population standard deviation of the following form is required: P(s(1 − 8) < σ < s(1+8)) = 0.95 where s will be determined from the sample data. Calculate the sample size for the experiment assuming that the distribution is normal.
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