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

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.

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