The positive critical value for a two-tailed hypothesis test of the difference between two population means is larger than for a one-tailed hypothesis test given the same level of significance.

Question

Quizplus · Accepted Answer

In a two-tailed test, the critical region is split between the two tails of the distribution, requiring a larger critical value to achieve the same level of significance as a one-tailed test, where the critical region is all in one tail.

The Positive Critical Value for a Two-Tailed Hypothesis Test of the Difference