Two independent groups are given different cold medicines and the goal is to compare reaction times. Suppose that the decrease in reaction times when taking drug A versus drug B are as follows.
A:
|
1.96
|
2.24
|
1.71
|
2.41
|
1.62
|
1.93
|
|
B:
|
2.11
|
2.43
|
2.07
|
2.71
|
2.50
|
2.84
|
2.88
|
Verify that the Mann-Whitney-Wilcoxon test rejects with α = 0.05. Estimate the probability that a randomly sampled participant receiving drug. A will have a smaller reduction in reaction time than a randomly sampled participant receiving drug B. Verify that the estimate is 0.9.