Question: 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

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.

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