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
Posted: Wed May 11, 2022 12:46 pm
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.