Suppose we wish to test the hypothesis H0 :μ =15; H1 :μ ≠15 where we know that σ2 =9.0. If the true mean is actually 20, what sample size must be used to ensure that the probability of type II error is no greater than 0.05? Assume α = 0.05 .

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
icon
Related questions
Question
Suppose we wish to test the hypothesis H0 :μ =15; H1 :μ ≠15 where we know that σ2 =9.0. If the true mean is actually 20, what sample size must be used to ensure that the probability of type II error is no greater than 0.05? Assume α = 0.05 .
Q2. Suppose we wish to test the hypothesis H₁ :u=15; H₁:μ#15 where we know that o² = 9.0. If
the true mean is actually 20, what sample size must be used to ensure that the probability of type II
error is no greater than 0.05? Assume a = 0.05.
Transcribed Image Text:Q2. Suppose we wish to test the hypothesis H₁ :u=15; H₁:μ#15 where we know that o² = 9.0. If the true mean is actually 20, what sample size must be used to ensure that the probability of type II error is no greater than 0.05? Assume a = 0.05.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
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,