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

Question

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

Quizplus · Accepted Answer

The correct hypothesis pair for testing if the mean of the first population (µ1) is smaller than the mean of the second population (µ2) is: Null hypothesis (H0): µ1 - µ2 ≥ 0 (suggesting µ1 is not less than µ2), and Alternative hypothesis (Ha): µ1 - µ2 < 0 (suggesting µ1 is less than µ2). This setup is correctly represented in option D.

Which of the Following Pairs of Hypotheses Are Used to Test