Two Tailed Paired T Test Formula. Student s t test is a parametric test as the formula depends on the mean and the standard deviation of the data being compared. μ1 μ2 population 1 mean is less than population 2 mean h1 right tailed.
For example t 0 5 of single tailed test equals to t 0 25 of two tailed test. μ 1 μ 2 the two population means are not equal. Mathematically it is represented as t x 1 x 2 s21 n 1 s22 n 2.
In case statistics of two samples are to be compared then a two sample t test is to be used and its formula is expressed using respective sample means sample standard deviations and sample sizes.
S is the standard deviation of d. T score intercept α β t score slope s x 2 x 2. The tscore intercept can be determined from the tscore slope. Mathematically it is represented as t x 1 x 2 s21 n 1 s22 n 2.