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, we test the difference between paired observations. To test if the mean of the first population is smaller than the second, we use H0: µD ≥ 0 and HA: µD < 0, where µD is the mean of the differences.

Which of the Following Set of Hypotheses Is Used to Test