If the t distribution is to produce an accurate probability figure, which of the following must be true?
A) sample size is the same for both samples
B) the populations compared have equal variances
C) the populations compared have equal means
D) all of the descriptive alternatives are correct.

Question

Quizplus · Accepted Answer

For the t distribution to produce an accurate probability figure, it is crucial that the populations being compared have equal variances. This assumption is fundamental to the validity of tests that rely on the t distribution, such as the independent samples t-test. The requirement for equal variances ensures that the distribution of the test statistic under the null hypothesis follows a t distribution accurately.

If the T Distribution Is to Produce an Accurate Probability