T Test Formula For Two Samples. This tutorial explains the following. If there is any significant difference between the two pairs of samples then the mean of d is expected to be far from 0.
μ1 μ2 the two population means are equal h1. T m s n. Where and are the means of the two samples δ is the hypothesized difference between the population means 0 if testing for equal means s 1 and s 2 are the standard deviations of the two samples and n 1 and n 2 are the sizes of the two samples.
μ1 μ2 the two population means are not equal.
The motivation for performing a paired samples t test. We will perform the two sample t test with the following hypotheses. T m a m b s 2 n a s 2 n b. The formula to perform a paired samples t test.