I wonder why my answer to part b is incorrect

1. Let X1, . .., Xn be a random sample from the Pareto distribution with pdf f(x10) = 20x-(0+1), x22, 0, otherwise. (a) Show that T = EN-, log X, is complete and sufficient for 0. (b) Find the UMVUE of 0. f (x10) = 20.0 . I (x121. e - catis leg x It's an exponential formily w |CCD) = 20.0 , LOU = I (xzy , WCel- -(oth, tow = bg [wcol = - COTV: DXO) = (-As, D is an open set in R => T= Im logs is complete and sufficient for o b ) Let &= lagx faces fxw . da = 20. 9. )- . 12 (23) - 20. 0. ezhto. ez = 20. 0 . 202 E(&J. Jingz Z . 20.0 2 02 d 8 - 20.0 Sunz Z. de de De-0 dz] =- 2# [ 0 -(12) . 2-0 - = 12 + 20. ( -#)-10- 29) Let T* = T-nlogly be a function of T ( ECT* ] = n- 8=0 3 TH is the UNIQUE of /42 Answer is T-n / 2