Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the standard deviation of the difference between the two means? Assume that the samples are obtained from normally distributed populations having equal variances. H_A: μ_A μ_B, ₁ = 12, ₂ = 9, s₁ = 5, s₂ = 3, n₁ = 13, n₂ = 10. A) 1.792 B) 1.679 C) 2.823 D) 3.210 E) 1.478

Question

Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the standard deviation of the difference between the two means? Assume that the samples are obtained from normally distributed populations having equal variances. H_A: μ_A > μ_B, ₁ = 12, ₂ = 9, s₁ = 5, s₂ = 3, n₁ = 13, n₂ = 10. A) 1.792 B) 1.679 C) 2.823 D) 3.210 E) 1.478

Quizplus · Accepted Answer

s_p²= [(n₁− 1)s₁²+ (n₂− 1)s₂²]/(n₁ + n₂ − 2) = [(12)(25) + (9)(9)]/21 = (300 + 81)/21 = 18.143 Standard deviation of difference == 1.792

Given the Following Information About a Hypothesis Test of the Difference