If you wish to test whether two population means are equal using a two-sample t test with a pooled estimate of the common variance, which of the following assumptions is NOT true?
A) The population variances should be equal or nearly equal.
B) The two samples must be independent of each other.
C) The two samples sizes are small and the samples must be randomly selected from the populations.
D) The populations from which the samples are drawn must be t distributed.

Question

Quizplus · Accepted Answer

The assumption that the populations from which the samples are drawn must be t-distributed is not true for conducting a two-sample t-test with a pooled estimate of the common variance. The correct assumption is that the populations should be normally distributed, not specifically t-distributed. The t-distribution is used in the testing process, not as a requirement for the population distributions.

If You Wish to Test Whether Two Population Means Are