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Q19Section ST (Statistics (Q11–Q65))19 of 65

LRT for two-sided normal mean

Let X1,X2X_1, X_2 be a random sample from N(θ,1)N(\theta, 1) distribution, where θ∈R\theta \in \mathbb{R}. Consider testing H0:θ=0H_0: \theta = 0 against H1:θ≠0H_1: \theta \ne 0. Let ϕ(X1,X2)\phi(X_1, X_2) be the likelihood ratio test of size 0.05 for testing H0H_0 against H1H_1. Then which one of the following options is correct?

Options

Pick an option to check your answer. In a mock test a wrong answer here costs 1/3 mark.