15.3.6 Suppose that one sample contains 2 m data points while the other contains 2 m + k data points. The first 2m and the last 2.m data points in the joint sample alternate between samples. Thus the ordered data has the form

(i) For given m find k such that the Kolmogorov-Smirnov test will reject the hypothesis that both samples are drawn from the same population (a = 0.05). (ii) Solve this problem if the string of k consecutive Y's occurs at the beginning of the joint ordering.

YX YXYY YXY XY 2m k 2m