Let X₁, X2, An be a random sample from the probability distribution with density { f(x; 0) with unknown parameter > 1. = 0x (+1) if x 1 else, 0 Determine a uniform most powerful test for testing Ho : 0 = 2 against H₁ : 0> 2 at level 0.05. Determine the power of your test in (g) at 0 = 3.

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Let X₁, X₂,- An be a random sample from the probability distribution with density
{}
0x (+1) if x>1
else,
f(x; 0)
with unknown parameter 0 > 1.
=
Determine a uniform most powerful test for testing Ho : 0 = 2 against H₁ : 0 > 2 at
level 0.05.
Determine the power of your test in (g) at 0 = 3.
Transcribed Image Text:Let X₁, X₂,- An be a random sample from the probability distribution with density {} 0x (+1) if x>1 else, f(x; 0) with unknown parameter 0 > 1. = Determine a uniform most powerful test for testing Ho : 0 = 2 against H₁ : 0 > 2 at level 0.05. Determine the power of your test in (g) at 0 = 3.
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