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Below you will find descriptions and details for the 5 formulas that are used to compute the results for a one-sample t-test.

Beta function:

Lower incomplete beta function:

Regularized lower incomplete beta function:

where the numerator is the lower incomplete beta function, and the denominator is the beta function.

t-distribution cumulative distribution function (CDF):

where

t-statistic and degrees of freedom:

where

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