1. A normal population sample has a standard deviation of 16 and sample size n = 100. The rejection region for testing Ho: μ = 5 versus Ha: M = k is that X >k - 2. Find the value of k that will allow P(X> k-2|Ho: M = 5 ) = 0.0228.

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
Section13.3: Special Probability Density Functions
Problem 8E
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Hypothesis Testing
1. A normal population sample has a standard deviation of 16 and sample size n = 100. The
rejection region for testing Ho: μ = 5 versus Ha:μ = k is that X > k − 2. Find the value of k
that will allow P(X > k − 2|H₁: µ = 5 ) = 0.0228.
Transcribed Image Text:Hypothesis Testing 1. A normal population sample has a standard deviation of 16 and sample size n = 100. The rejection region for testing Ho: μ = 5 versus Ha:μ = k is that X > k − 2. Find the value of k that will allow P(X > k − 2|H₁: µ = 5 ) = 0.0228.
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