T-test statistics

Formula

varies for different hypothesis t-tests

👩‍🎓 Students t-test

$x_1=$ mean of population 1 $x_2=$ mean of population 2 $SE(x_1-x_2)=$ standard error (1) of population 1 & 2 ==$t=\frac{x_1-x_2}{SE(x_1-x_2)}$==

👨‍🎓 Welchs t-test

$x_1=$ mean of population 1 $x_2=$ mean of population 2 $SE(x_1-x_2)=$ standard error (2) of population 1 & 2 ==$t=\frac{x_1-x_2}{SE(x_1-x_2)}$==

Distribution

looks like 🔔 Normal distribution but with longer tails ![[CleanShot 2021-05-04 at 11.03.04@2x.png|500]]