H6:=0 versus H1:=1 Based on a random sapmple from a distribution with pmf P(X=x) for x=1,2,,7. The values of the likelihood function at 0 and 1 are given in the table below. Use the Neyman-Pearson Lemma to find the most powerful test for H0 versus H1 with significance level =0.05. Compute the power of this test. 2. A single positive random variable X has density function f(x)={(+x)2,x>00,otherwise where >0 is an unknown parameter. Find the uniformly most powerful critical region of size =0.05 in testing H:=2 versus H1:>2. H6:=0 versus H1:=1 Based on a random sapmple from a distribution with pmf P(X=x) for x=1,2,,7. The values of the likelihood function at 0 and 1 are given in the table below. Use the Neyman-Pearson Lemma to find the most powerful test for H0 versus H1 with significance level =0.05. Compute the power of this test. 2. A single positive random variable X has density function f(x)={(+x)2,x>00,otherwise where >0 is an unknown parameter. Find the uniformly most powerful critical region of size =0.05 in testing H:=2 versus H1:>2