Consider a normal random sample from population N (u, o?),where g2 is assumed to be known. Consider the following hypotheses: Ho : = Ho v. s. H1 : = 1 < Ho Let the rejection region be {a : 7 < Ho Zao/Vn}, then the type-Il error is (1 = 1 | u^/0% Ont < x)d =d 1. For a fixed sample size n, when a decreases, B will (Type in "O" if you think it will decrease, and "1" if you think it will increase.) 2. For a fixed sample size n, when Bincreases, awill (Type in "O" if you think it will decrease, and "1" if you think it will increase.) 3. Let o 0.12, 1 = Ho - 0.03, a minimum number of samples are needed if we want to ensure that a < 0.025, B < 0.025. (Hint: round UP to the nearest integer.)