6.40 Let X1, ...,Xn be iid observations from a location -scale family. Let T1(Xi,..., X,) and T2(X1, ..., Xn) be two statistics that both satisfy SODUR NE Ti(ax1 + b, . . ., ax, +b) = aTi(I1, ..., In) 7 bit en node Una ibooil for all values of 21, .. ., In and b and for any a > 0. (a) Show that 71/72 is an ancillary statistic. (b) Let R be the sample range and S be the sample standard deviation. Verify that R and S satisfy the above condition so that A/S is an ancillary statistic