Stats Solutions

(Solved) Show that for X_1, X_2, ..., X_n ~ N(θ, σ^2), σ^2 is known. The LRT of H_0: θ ≤q θ_0 , versus H_1: θ>θ_0

Question: Show that for \(X_{1}, X_{2}, \ldots, X_{n} \sim N\left(\theta, \sigma^{2}\right), \sigma^{2}\) is known. The LRT of \(H_{0}: \theta \leq \theta_{0}\) , versus \(H_{1}: \theta>\theta_{0}\) has the rejection region of \(\frac{\left(\bar{X}-\theta_{0}\right)}{\sigma / \sqrt{n}}>c\) , where \(c\) is a positive number.

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document


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