Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations having equal variances. H_A: μ_A μ_B, = 12, = 9, s₁ = 5, s₂ = 3, n₁ = 13, n₂ = 10. A) t = 1.96 B) t = 1.5 C) t = 2.823 D) t = 1.674 E) t = 1.063

Question

Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations having equal variances. H_A: μ_A > μ_B, = 12, = 9, s₁ = 5, s₂ = 3, n₁ = 13, n₂ = 10. A) t = 1.96 B) t = 1.5 C) t = 2.823 D) t = 1.674 E) t = 1.063

Quizplus · Accepted Answer

s_p²= [(n₁− 1)s₁²+ (n₂− 1)s₂²]/(n₁ + n₂ − 2) = [(12)(25) + (9)(9)]/21 = (300 + 81)/21 = 18.143 t = [(−) − 0]/= (12 − 9)/= 3/= 3/1.792 = 1.674

Given the Following Information About a Hypothesis Test of the Difference