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Populations A and B are both measured in the same ordinal scale. A sample from these populations is taken which contains two (2) elements from

Populations A and B are both measured in the same ordinal scale. A sample from these populations is taken which contains two (2) elements from A and three (3) elements from B. State all possible rank ordering of the elements in the sample. Under validity of the null hypothesis that the medians of the two populations are identical, assign probabilities for all possible values for the statistic in the Mann-Whitney-Wilcoxon (MWW) test on equality of the medians. For each value of the test statistic, state if the null hypothesis is rejected, and also evaluate the associated p value. Use 0.05 once and then 0.1 for significance level.

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