T Test Independent Formula. S 2 x m a 2 x m b 2 n a n b 2. The hypotheses for this example can be expressed as.
Therefore for the example above you could report the result as t 7 001 2 233 p 0 061. 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. This is the first set of sample you are testing.
T x μ s n t 74 78 3 5 10 t 3 61.
The hypotheses for this example can be expressed as. Once t test statistic value is determined you have to read in t test table the critical value of student s t distribution corresponding to the significance level alpha of your choice 5. This is the second set of sample you are comparing. µ non athlete µ athlete 0 the difference of the means is not equal to zero.
