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reasonable estimator of 0.

reasonable estimator of 0.

Calculus For The Life Sciences
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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Let X₁, X₂, ‚X₂be i.i.d. with following probability mass function 0.1 +0, x = 1 x = 2 x = 3 S p(x 10) = 0.5, 0.4-0, where -0.1 ≤ 0 ≤ 0.4 1. Find a reasonable estimator of 0. 2. Suppose that n = 1, find a most powerful text (with level 0.1) for Ho: 0 = 0 versus HA: 0 = 0.3 3. Suppose that n = 1, and the test hypothesis is H : 0 = 0 versus H₁ : 0 > 0, does a uniformly most powerful test exist? If it exists, please find it.
Transcribed Image Text:Let X₁, X₂, ‚X₂be i.i.d. with following probability mass function 0.1 +0, x = 1 x = 2 x = 3 S p(x 10) = 0.5, 0.4-0, where -0.1 ≤ 0 ≤ 0.4 1. Find a reasonable estimator of 0. 2. Suppose that n = 1, find a most powerful text (with level 0.1) for Ho: 0 = 0 versus HA: 0 = 0.3 3. Suppose that n = 1, and the test hypothesis is H : 0 = 0 versus H₁ : 0 > 0, does a uniformly most powerful test exist? If it exists, please find it.
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