Q3. Based on a random sample of size 1 from the pdf f.(x) = 0x®-4, 0 5xs1 : (i) Use the Neyman-Pearson Lemma to derive t

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Q3 Based On A Random Sample Of Size 1 From The Pdf F X 0x 4 0 5xs1 I Use The Neyman Pearson Lemma To Derive T 1 (50.49 KiB) Viewed 22 times

Q3. Based on a random sample of size 1 from the pdf f.(x) = 0x®-4, 0 5xs1 : (i) Use the Neyman-Pearson Lemma to derive the MP test for H.:0 = 2 vs H :0 = 3. Give the critical region for the test when the level of significance a = = 0.05. (ii) Find the power of the test when 0 = 3 and a = = 0.05. (iii) Show that the above MP test is also a UMP test for H,:0 = 2 vs H, :0> 2.