T Distribution Test Statistic Formula. In this formula t is the t value x1 and x2 are the means of the two groups being compared s2 is the pooled standard error of the two groups and n1 and n2 are the number of observations in each of the groups. T frac m a m b sqrt frac s 2 n a frac s 2 n b s 2 is an estimator of the common variance of the two samples.
T x μ s n where x is the sample mean μ is the hypothesized mean in our example it would be 15 s is the sample standard deviation and n is the sample size. In this formula t is the t value x1 and x2 are the means of the two groups being compared s2 is the pooled standard error of the two groups and n1 and n2 are the number of observations in each of the groups. Determine the degrees of freedom for the t test.
Formulas for the test statistic in t tests include the sample size as well as its mean and standard deviation.
The exact formula depends on the t test type check the sections dedicated to each particular test for more details. Srh company claims that its employees at the analyst level earn an average of 500 per hour. We just need to incorporate the values. So the calculation of t distribution can be done as follows here all the values are given.