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If the two samples are of size n1 and n2 then the t-statistic is distributed with n1 + n2 - 2 degree of freedom.
The samples must be randomly selected, independent, and normally distributed. The following are necessary to use a t-test for small independent samples. 1. The samples must be randomly selected. 2. The samples must be independent. 3. Each population must have a normal distribution.
This is an abbreviation for independent and identically distributed. In the mathematical analysis of samples, it is convenient to state that each data value in the sample is a iid random variable. See related link.
random sampling
There are 324,632 possible samples.