Paired Sample T Test Formula. The the one sample t test formula can be written as follow. D differences between two paired samples.
μ 1 μ 2 the two population means are equal the alternative hypothesis can be either two tailed left tailed or right tailed. T m μ s n. S is the standard deviation of d.
The symbols to be used are defined below.
Let d represents the differences between all pairs. μ 1 μ 2 the two population means are equal the alternative hypothesis can be either two tailed left tailed or right tailed. The test statistic for the paired samples t test denoted t follows the same formula as the one sample t test. The test statistics used are as follows.