5.26 Show that the null distribution of the Wilcoxon signed-rank test statistic T is the same as...

5.26 Show that the null distribution of the Wilcoxon signed-rank test statistic Tþ is the same as that of W ¼

PNi

¼1Wi, where W1,W2, . . . ,WN are independent random variables with P(Wi ¼ 0) ¼ P(Wi ¼ i) ¼ 0:5, i ¼ 1, 2, . . . ,N.