VI. (25 points, 1555) Let X1,X2, ....,X,,_ be id with common pdf Elma1 0 g a; g 1 f ($09) _ { 0 otherwise where 9 > 0. (1) Derive the UMP for H0 : 9 = 90 versus Ha : 6' > 90 at signicance level a. (2) Suppose 90 = 1, o: = 0.05, n = 3, and X1X2X3 = 001187391768. Execute the UMP you derived in (1) and state your conclusion. (3) Calculate the pvalue for the test in part (2)