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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
icon
Related questions
Question

[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.
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.
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,