For a hypothesis comparing two population means, H₀: $\mu$₁$\le$ $\mu$₂, what is the critical value for a one-tailed hypothesis test, using a 5% significance level, with both sample sizes equal to 13? Assume the population standard deviations are equal. A) $\pm$1.711 B) +1.711 C) +2.060 D) +2.064

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Quizplus · Accepted Answer

The critical value for a one-tailed hypothesis test at a 5% significance level with both sample sizes equal to 13 and assuming equal population standard deviations can be found using the t-distribution table. Since the total degrees of freedom (df) is 24 (n1 + n2 - 2 = 13 + 13 - 2), the closest critical value for a one-tailed test at the 5% level is +1.711.

For a Hypothesis Comparing Two Population Means, H0 μ\muμ 1 ≤\le≤ μ\muμ

For a Hypothesis Comparing Two Population Means, H₀ $\mu$ ₁ $\le$ $\mu$