Use of a one-tailed versus a two-tailed test of significance of the difference between two sample means depends on whether the participants were matched or chosen randomly. &quo…

Question

Use of a one-tailed versus a two-tailed test of significance of the difference between two sample means depends on whether the participants were matched or chosen randomly.

"TRUE" or "FALSE"?

Answer 1

Use of a one-tailed versus a two-tailed test of significance of the difference between two sample means depends on whether the participants were matched or chosen randomly. The statement is TRUE.

Step-by-step explanation:

The statement is TRUE.

Use of a one-tailed versus a two-tailed test of significance of the difference between two sample means indeed depends on whether the participants were matched or chosen randomly. In a hypothesis test for matched or paired samples, the differences between the paired measurements are calculated and the population mean for the differences is tested. This test uses a one-tailed test because the direction of the difference is known. On the other hand, in a test of two independent sample means, where the samples are randomly chosen, a two-tailed test is used because the direction of the difference is not known.