Let Xi, X 2 , • • • ,X8 be a random sample of size n = 8 from a symmetric distribution of the continuous type with distributional median equal to zero. Modify the regular one-sample Wilcoxon W by replacing the ranks 1, 2, 3, 4, 5, 6, 7, 8 by the scores 1, 1, 2, 2, 2, 2, 3, 3, to obtain W1. Compute the mean and variance of W1.