Question 1 1 pts Consider a random sample W1, . .., Wn W]...; W, and a realization "lynn/13.--3 7'n Of that random sample. We want to test HO: E(W} ) = * = 08(W;) = #* =0 with 0.05 significance level (20.05 = 1.6470,0s = 1.64) against the set of alternative hypothesis H1: E(W( ) = #* > OF(W) = 4* > 0. Specifically, among all possible alternative hypotheses, we are interested in the alternative H1: E(W( ) = (* = 28(W) = * = 2. We are willing to assume 9/Vn ~ N(0, 1) ~ NO, 1) and g = 10 6 = 10, and therefore use the decision rule "reject HO if the realized F-0 > 1.64- -0 - 2 1.64 (where , = 1, What is the smallest sample size nn such that our decision has a power of at least 0.90 (20.10 = 1.2870.10 = 1.28)? O 213 154 214 O 153