Both the equal-variances and unequal variances test statistic and confidence interval estimator of $\mu _ { 1 } - \mu _ { 2 }$ require that the two populations be normally distributed.

Question

Quizplus · Accepted Answer

Both tests assume that the populations are normally distributed to ensure the validity of the test statistics and confidence intervals, especially with small sample sizes.

Both the Equal-Variances and Unequal Variances Test Statistic and Confidence μ1−μ2\mu _ { 1 } - \mu _ { 2 }μ1​−μ2​

Both the Equal-Variances and Unequal Variances Test Statistic and Confidence $\mu _ { 1 } - \mu _ { 2 }$