A particular personal trainer works primarily with track and field athletes. She believes that her clients run faster after going through her program for six weeks. How might she test that claim? A) A hypothesis test for p₁ - p₂. B) A hypothesis test for μ₁ - μ₂. C) A matched-pairs hypothesis test for μ_D. D) We are unable to conduct a hypothesis test because the samples would not be independent.

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Quizplus · Accepted Answer

A matched-pairs hypothesis test for μ, where the same group of track and field athletes is tested before and after the trainer's program, would be the best choice. This way, each athlete serves as their own control, and any improvement in speed can be attributed to the program rather than external factors. Option A refers to a proportion, which is not applicable in this case. Option B assumes independent samples, which is not the case since the same group is being tested twice. Option D is also incorrect for the same reason.

A Particular Personal Trainer Works Primarily with Track and Field