Let X1, X2, X3 be a random sample from a Uniform [0, θ] distribution, θ > 0. Consider the likelihood ratio test of size 0.001 for testing H0 : θ = 3 against H1 : θ ≠ 3. Then which of the following statements is true?

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Mathematics · Statistical Inference

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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If max{X1, X2, X3} is 3.1, then H0 is rejected.

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Answer 1

The power of the test at θ = 0.3 is 1.

Answer 2

If max{X1, X2, X3} is 0.1, then H0 is rejected.

Answer 3

If max{X1, X2, X3} is 1.3, then H0 is rejected.

Answer 4

If max{X1, X2, X3} is 3.1, then H0 is rejected.

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