Which of the following set of hypotheses is used to test if the mean of the first population is smaller than the mean of the second population, using matched-paired sampling? A) H₀: µ₁ - µ₂ ≤ 0, H_A: µ₁ - µ₂ 0 B) H₀: µ₁ - µ₂ ≥ 0, H_A: µ₁ - µ₂ 0 D) H₀: µ_D≥0, H_A: µ_D

Question

Which of the following set of hypotheses is used to test if the mean of the first population is smaller than the mean of the second population, using matched-paired sampling? A) H₀: µ₁ - µ₂ ≤ 0, H_A: µ₁ - µ₂ > 0 B) H₀: µ₁ - µ₂ ≥ 0, H_A: µ₁ - µ₂ < 0 C) H₀: µ_D≤ 0, H_A: µ_D > 0 D) H₀: µ_D≥0, H_A: µ_D < 0

Quizplus · Accepted Answer

In matched-paired sampling, the hypothesis test is based on the differences between paired observations. To test if the mean of the first population is smaller than the mean of the second, we use H₀: µ_D ≥ 0 and H_A: µ_D < 0, where µ_D is the mean of the differences.

Which of the Following Set of Hypotheses Is Used to Test