Suppose Y = (Y1,...,Y) is a random sample from an N(0,0) distribution. Con- struct a most powerful test of Ho: 0 = 1, H:0 = 2. Find the power of the test of size 0.05 when n = 10. 2. Let Y = (Y1,...,Y) be a random sample from N(0,2). Find the uniformly most powerful test of where 00 is a given constant. H > , 3. Let Y,..., Yn be a random sample from a uniform distribution on the interval [0,0], where > 0 is unknown. Find the most powerful test for the null hypothesis Ho= 1 against the alternative hypothesis H = 4 which never rejects a : true null hypothesis. Find the power of this most powerful test when n = 4.