We would like to test the following hypothesis to compare the variances of two normal populations. H:σ=σ We collect 3 random observations from each population as follows: Population1: X₁ =1,X₂ = 2,X3=3 Population2: Y= −2, Y₂ = 0, Y3 = 2 a) Test the above hypothesis using p-value. (Assume a=0.05) b) Suppose the null hypothesis is NOT true. Calculate λ= of type-II error of the test for this λ is at most 0.1. so that the probability

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.CR: Chapter 13 Review
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We would like to test the following hypothesis to compare the variances of two normal
populations.
H:σ=σ
We collect 3 random observations from each population as follows:
Population1: X₁ =1,X₂ = 2,X3=3
Population2: Y= −2, Y₂ = 0, Y3 = 2
a) Test the above hypothesis using p-value. (Assume a=0.05)
b) Suppose the null hypothesis is NOT true. Calculate λ=
of type-II error of the test for this λ is at most 0.1.
so that the probability
Transcribed Image Text:We would like to test the following hypothesis to compare the variances of two normal populations. H:σ=σ We collect 3 random observations from each population as follows: Population1: X₁ =1,X₂ = 2,X3=3 Population2: Y= −2, Y₂ = 0, Y3 = 2 a) Test the above hypothesis using p-value. (Assume a=0.05) b) Suppose the null hypothesis is NOT true. Calculate λ= of type-II error of the test for this λ is at most 0.1. so that the probability
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