2.1. Find the likelihood function L(0) and if needed the density function of the MLE. 2.2. Formulate the Neyman-Pearson test statistic. 2.3. Find the rejection region by finding the value of a = P("MLE" < k|0 = 0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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2. Study Example 10.22 Wackerly.
Let Y₁, Y₂,..., Y, denote a random sample from a uniform distribution over the interval (0, 0).
a Find the most powerful a-level test for testing Ho: 0 = 0o against Ha : 0 = 0a, where
0a < 00.
Answer by the stepwise questions.
Question a:
2.1. Find the likelihood function L(0) and if needed the density function of the MLE.
2.2. Formulate the Neyman-Pearson test statistic.
2.3. Find the rejection region by finding the value of a = P("MLE" <k|0 = 0o).
Transcribed Image Text:2. Study Example 10.22 Wackerly. Let Y₁, Y₂,..., Y, denote a random sample from a uniform distribution over the interval (0, 0). a Find the most powerful a-level test for testing Ho: 0 = 0o against Ha : 0 = 0a, where 0a < 00. Answer by the stepwise questions. Question a: 2.1. Find the likelihood function L(0) and if needed the density function of the MLE. 2.2. Formulate the Neyman-Pearson test statistic. 2.3. Find the rejection region by finding the value of a = P("MLE" <k|0 = 0o).
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