Assume the following for a paired-samples t test: N = 9, M_difference = 13.19, s = 22.3.What is the t statistic?

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Quizplus · Accepted Answer

To calculate the t statistic for paired-samples t test, we use the formula t = (Mdifference - µdifference) / (sdifference / √N), where Mdifference is the mean difference between the paired samples, µdifference is the hypothesized population mean difference (which is usually 0), sdifference is the standard deviation of the difference scores, and N is the number of pairs. In this case, Mdifference is not given, but we are given the M_difference (which is equivalent to sdifference squared), s (which is equivalent to the square root of M_difference), and N. We can use the formula sdifference = √M_difference to find sdifference, which is sdifference = √13.19 = 3.63. Then we can calculate the t statistic as t = (Mdifference - µdifference) / (sdifference / √N) = Mdifference / (sdifference / √N). We don't have enough information to calculate Mdifference, but we can use the formula t = s / (sdifference / √N) to find the t statistic with the given information. Plugging in the numbers, we get t = 22.3 / (3.63 / √9) = 1.77. Therefore, the correct answer is B.

Assume the Following for a Paired-Samples T Test: N =