Show transcribed image text Problem B.3. Let {X1, X2,..,Xn} be a random sample from a continuous distribu- tion with probability density function given by f(x) = 18 otherwise Consider the hypothesis test Ho : θ =Bo versus H1 : θ =6, where θ| > θ0. (a) Assuming the Neyman-Pearson Lemma as known, derive the form of the most powerful (best) critical region of size α in terms of a suitable test statistic. (b) If a,-2.a 0.05, n 10, determine the best critical region (numerically).
Problem B.3. Let {X1, X2,..,Xn} be a random sample from a continuous distribu- tion with probability density function given by f(x) = 18 otherwise Consider the hypothesis test Ho : θ =Bo versus H1 : θ =6, where θ| > θ0. (a) Assuming the Neyman-Pearson Lemma as known, derive the form of the most powerful (best) critical region of size α in terms of a suitable test statistic. (b) If a,-2.a 0.05, n 10, determine the best critical region (numerically).
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