| The two sample
t-test is a
hypothesis test
used to to compare the means of
two reasonably small (30 or less) samples
to see if it is feasible that they come
from the same population. The hypothesis
is:
H0 the population means are
equal
H1 the popular means are different
The test is:
Step 1: calculate the pooled standard deviation:

Step 2: calculate the t statistic:

The degrees
of freedom:

 |
sample means |
| n1, n2 |
sample sizes |
| s1, s2 |
sample standard deviations |
| ν
|
degrees of freedom |
See also Paired
t-Test and One
Sample t-Test
|