Paired Sample T Test Formula. If the p value that corresponds to the test statistic t with n1 n2 1 degrees of freedom is less than your chosen significance level common choices are 0 10 0 05 and 0 01 then you can reject the null hypothesis. A paired samples t test always uses the following null hypothesis.
The the one sample t test formula can be written as follow. Paired t test formula to compare the means of the two paired sets of data the differences between all pairs must be first calculated. The one sample t test formula is used to compare the mean of one sample to a known standard mean.
Sp n1 1 s12 n2 1 s22 n1 n2 2 where s12 and s22 are the sample variances.
The test statistic for the paired samples t test denoted t follows the same formula as the one sample t test. The the one sample t test formula can be written as follow. Paired t test table enables the t value from a t test to be converted to a statement about significance. μ 1 μ 2 the two population means are equal the alternative hypothesis can be either two tailed left tailed or right tailed.
