Question 3 (Hypothesis testing). Let X1. .... X,, be HID RVs from a distribution with the PDF fo() = Ar -'n(0 x 1 ). Let T = EX -log X. Assume that 0 b; Y = 0 otherwise. where a. b > 0 are determined by some constraints. (Explicit formulas for a, b are not required, but you need to state the constraints for finding a, b.) Using the following table to find the values of a, b when a = 0.05, n = 10 and 60 = 1. What is the your conclusion if T = 4.9 is observed? t Flo(t) t - 10 logt 1.7954 0.025 -10.8812 4.9789 0.03107 -11.0732 5.4254 0.05 -11.4855 15.7052 0.95 -11.8347 17.0848 0.975 -11.2971 17.6134 0.98107 -11.0732