Q. 23 Given the nine sample values 4.5, 6.5, 3.8, 4.2, 7.7, 8.5, 9.4, 5.3, 3.9 from a normal distribution with mean μ and variance 4. Find the best critical region for testing Ho: μ = 4 vs. H₁: μ = 5 of size 0.05. Also calculate the power of the test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Q. 23 Given the nine sample values 4.5, 6.5, 3.8,
4.2, 7.7, 8.5, 9.4, 5.3, 3.9 from a normal distribution
with mean μ and variance 4. Find the best critical
region for testing Ho: μ = 4 vs. H₁: μ = 5 of size
0.05. Also calculate the power of the test.
Transcribed Image Text:Q. 23 Given the nine sample values 4.5, 6.5, 3.8, 4.2, 7.7, 8.5, 9.4, 5.3, 3.9 from a normal distribution with mean μ and variance 4. Find the best critical region for testing Ho: μ = 4 vs. H₁: μ = 5 of size 0.05. Also calculate the power of the test.
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