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

Given that Null hypotheses H0 : μ = 15 Alternative hypotheses H1 : μ ≠ 15 This is two tailed…

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 .

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 .

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

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.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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