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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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ISBN:
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Pearson Addison Wesley,