Assume the competing hypotheses take the following form: H₀: µ₁- µ₂ = 0,H_A: µ₁- µ₂ ≠ 0,where µ₁ is the population mean for population 1 and µ₂ is the population mean for population 2.Also assume that the populations are normally distributed and we use independent sampling.The population variances are not known and cannot be assumed equal.Which of the following expressions is appropriate test statistic?

Question

Quizplus · Accepted Answer

For this scenario, the appropriate test statistic is the Welch's t-test, which accounts for the unequal population variances. The equation for the test statistic is shown in option B. Options A, C, and D are not appropriate for independent samples with unequal variances.

Assume the Competing Hypotheses Take the Following Form: H0: µ1-

Assume the Competing Hypotheses Take the Following Form: H₀: µ₁-