Question

Imagine that a researcher is conducting a paired-samples t test. She finds that the sample mean difference is 5, the standard deviation of the difference scores is 15, and the sample size is 85. The researcher is also using a typical null hypothesis that proposes no differences between the relevant population means. Under these circumstances, what is the value of the paired-samples t statistic? Please retain a minimum of three decimal places for all steps (if relevant) and provide a minimum of three decimal places when writing your answer.

Answer 1

Herre, dbar = 5 , sd = 15 , n = 85

Test statistic,
t = (dbar - 0)/(s(d)/sqrt(n))

= ( 5 - 0) / ( 15/sqrt(85))
= 3.073