An electric firm manufactures light bulbs that have a lifetime measured in days that is approximately normally distributed with unknown mean μ and standard deviation of 16 days. A quality engineer takes a random sample of size n = 16, so that, after setting the probability of committing a Type I error at the level α = 0.05, he can test the null hypothesis Hoμ = 100, against the alternative hypothesis that Ha : μ > 100. == What is the power of the hypothesis test if the true population mean were μ = 108 ?

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
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[Statistical Power and Type I and II Errors] How do you calculate the power of the hypothesis test? Round to four decimal points. Thanks!

An electric firm manufactures light bulbs that have a lifetime measured in days that is approximately
normally distributed with unknown mean μ and standard deviation of 16 days. A quality engineer takes
a random sample of size n = 16, so that, after setting the probability of committing a Type I error at the
level α = 0.05, he can test the null hypothesis Hoμ = 100, against the alternative hypothesis that
Ha : μ > 100.
==
What is the power of the hypothesis test if the true population mean were μ
=
108 ?
Transcribed Image Text:An electric firm manufactures light bulbs that have a lifetime measured in days that is approximately normally distributed with unknown mean μ and standard deviation of 16 days. A quality engineer takes a random sample of size n = 16, so that, after setting the probability of committing a Type I error at the level α = 0.05, he can test the null hypothesis Hoμ = 100, against the alternative hypothesis that Ha : μ > 100. == What is the power of the hypothesis test if the true population mean were μ = 108 ?
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