MathCastle
StatisticsSuperchallengeSampling and Experiments

Sampling and Experiments · Superchallenge problem

A randomized experiment puts 44 subjects in each group. Treatment outcomes: 7,9,11,137, 9, 11, 13; control outcomes: 3,5,6,83, 5, 6, 8. Assuming the treatment has no effect (so all 7070 ways of splitting the eight outcomes into two groups of 44 are equally likely), what is the probability of a treatment-minus-control difference in means at least as large as the observed one?