MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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[Statistical Power and Type I and II Errors] How do you calculate the sample size? Round to four decimal points. Thanks!

Aircrew escape systems are powered by a solid propellant. The burning rate of this propellant is an
important product characteristic.
Let X denote the burning rate in centimeters per second. Assume that X is normally distributed with
unknown mean μ and standard deviation σ = 6.
An Aircraft Engineer is planning to increase the current average burning rate from 40 centimeters per
second. Therefore, he is interested in testing, at the level α = 0.05, the null hypothesis Hoμ = 40,
against the alternative hypothesis that Haμ> 40. Find the sample size n that is necessary to
achieve 0.90 power at the alternativeμ = 45.
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Transcribed Image Text:Aircrew escape systems are powered by a solid propellant. The burning rate of this propellant is an important product characteristic. Let X denote the burning rate in centimeters per second. Assume that X is normally distributed with unknown mean μ and standard deviation σ = 6. An Aircraft Engineer is planning to increase the current average burning rate from 40 centimeters per second. Therefore, he is interested in testing, at the level α = 0.05, the null hypothesis Hoμ = 40, against the alternative hypothesis that Haμ> 40. Find the sample size n that is necessary to achieve 0.90 power at the alternativeμ = 45.
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