What is assumed by the homogeneity of variance assumption?
A)The two samples have equal variances.
B)The two sample variances are not equal.
C)The two populations have equal variances.
D)The two population variances are not equal.

Question

Quizplus · Accepted Answer

The homogeneity of variance assumption assumes that the two populations under consideration have equal variances. This is important when carrying out hypothesis tests or constructing confidence intervals for the difference between two population means using two independent samples. The assumption allows for the use of a pooled variance estimate, which improves the accuracy of the test or interval construction. Option A is incorrect because it assumes equal variances within the samples, not the populations. Option B is incorrect because it contradicts the assumption. Option D is incorrect because it is not a relevant assumption for this situation.

What Is Assumed by the Homogeneity of Variance Assumption