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StatisticsChallengeSampling and Experiments

Sampling and Experiments · Challenge problem

A randomized experiment puts 33 subjects in treatment and 33 in control. The treatment outcomes are 8,9,108, 9, 10 and the control outcomes 4,5,64, 5, 6. If the treatment had no effect, every split of these six outcomes into groups of 33 would be equally likely. What is the probability that a random split gives a treatment-minus-control difference in means at least as large as the one observed?