Question

ch 21 which of the following conditions must be met to perform the two - sample t test? the two random samples must be selected from two distinct populations. there can be no skewness in either of the distributions. the two random samples must be selected from the same population. there must be skewness in both of the distributions.

Explanation:

The two - sample t - test is used to compare the means of two groups. For this test, the two random samples must be selected from two distinct populations. Skewness is not a strict no - go condition as the t - test is somewhat robust to non - normality (and thus skewness to some extent), especially for larger sample sizes. Selecting samples from the same population would not make sense for a two - sample t - test (which is about comparing two different groups), and there is no requirement for there to be skewness in the distributions.

Answer:

The two random samples must be selected from two distinct populations.