Back to Compare two treatments from a randomized experiment — Problem 1 · Task Set 16

Exercises: Compare Two Treatments Using Re-Randomization Simulation

Work through each section in order. Show your work where indicated. For each significance decision, state the tail fraction and whether the result is significant, then interpret it.

Grade 11·23 problems·~45 min·Common Core Math - HS Statistics and Probability·group·hss-ic-b-5

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Fluency Practice

A randomized experiment finds that the treatment group's mean is 3 points higher than the control group's. A student concludes, "The treatment worked." Why is this conclusion premature?

Because even with no effect, random assignment alone routinely produces gaps of a few points; we must first check whether a 3-point gap is bigger than chance usually produces.

Because the treatment group should always score lower than the control group.

Because a difference of 3 points is too small to ever matter.

Because means cannot be compared between two groups.