Consider the following two samples: X : XXXXXXXXXX1000 Y :− XXXXXXXXXX XXXXXXXXXXa) Show that both samples have the same mean and variance. b) Use the Wilcoxon rank-sum test to test the null...

Consider the following two samples: X :0 2 3 4 10 20 40 1000 Y :−738 162 222 242 252 258 259 260 262 a) Show that both samples have the same mean and variance. b) Use the Wilcoxon rank-sum test to test the null hypothesis that the population means are equal. What do you conclude? c) Do the assumptions of the rank-sum test appear to be satisfied? Explain why or why not.