T Distribution Test Statistic Formula. The t statistic to test whether the means are different can be calculated as follows. We just need to incorporate the values.
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. T test formula the formula for the two sample t test a k a. The t statistic to test whether the means are different can be calculated as follows.
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 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. The t score formula for the welch t test is. The exact formula depends on the t test type check the sections dedicated to each particular test for more details. Where overline x is the sample mean mu is the population mean s is the standard deviation of the sample and n is the sample size.
