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StatisticsSuperchallengeHypothesis Tests

Hypothesis Tests · Superchallenge problem

Six plants are split at random: fertilizer group heights 7,9,127, 9, 12; control group heights 4,5,84, 5, 8. Under H0H_0 (fertilizer does nothing), every way of choosing which 33 of the 66 heights form the "fertilizer" group is equally likely. What is the probability that the fertilizer group’s total is at least the observed 2828?