Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Which of the following statements are true? A. All of these statements are true.

ID: 3126250 • Letter: W

Question

Which of the following statements are true?

A. All of these statements are true.

B. The unequal-variances t-test is used whenever the population standard deviations are unknown and cannot be assumed to be equal.

C. None of these statements is true.

D. The z-test can be used as a close approximation to the unequal-variances t-test when the population standard deviations are not assumed to be equal, but samples are large (each n 30).

E. The pooled-variances t-test is used whenever the population standard deviations are assumed to be equal regardless of the sample size.

Explanation / Answer

B. The unequal-variances t-test is used whenever the population standard deviations are unknown and cannot be assumed to be equal. TRUE.

The homogeneity of variance assumption can not be satisfied.

E. The pooled-variances t-test is used whenever the population standard deviations are assumed to be equal regardless of the sample size.

Here the homogeneity of assumption is satisfied.