Question

Is the following statement true or false?

If you appropriately compute a t statistic for 25 related pairs of scores (using SPSS or a similar program), the t statistic will have the same absolute value as a correctly computed one-sample t statistic computed from the differences between those 25 pairs of related scores. Note: When answering, please assume that we have standard null hypotheses (indicating no differences) for two tailed tests.

Answer 1

The following statement is True.

Explanation:

Because when we are applying the pair t-test then, take differences of that pair and then treat it as an individual samples. Formula for the test is a statistic and in this case, it is also same as formula in the one-sample of t statistics.

Therefore, it will be an equivalent to the one-sample t-test.