Question

2. Take data sets A and B and delete duplicated values such that each value is unique even when pooling the two data sets. Just like with the previous problem, treat data sets A and B as hypothetical data on the weights of children whose parents smoke cigarettes, and those whose parents do not, respectively.

1. Calculate the expected value of the Wilcoxon Rank-Sum test statistic E(W_X) assuming the null hypothesis of equal medians being true.

2. Conduct a Wilcoxon Rank-Sum test on the data.

Data A: 8.23,8.33,8.25,8.16,8.03, 8.03, 8.10, 8.11, 8.25, 8.25, 8.23

Data B: 8.84, 8.70, 8.10, 8.20, 8.23, 8.18, 8.23, 8.34, 8.29

Please show all the detailed work, thank you in advance

Answer 1