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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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[Statistical Power and Type I and II Errors] How do you calculate the
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bc04826-ece2-475a-b5f0-2f3439f9e89d%2F18885cce-57de-450a-bb71-1056cd91d16e%2Fqo15178_processed.png&w=3840&q=75)
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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