FinePointe uses National Instruments Measurement Studio to compute these statistics.  Here are links from the NI website that explain more:

Anova

http://zone.ni.com/reference/en-XX/help/372636F-01/mstudiowebhelp/html/5d5b3031/

T test uses NI, but we extend it with two tail computations.

http://zone.ni.com/reference/en-XX/help/372636F-01/mstudiowebhelp/html/3779c64e/

Or if Nt and Nc are >= 30 we use