# t distribution

## noun

**:**a probability density function that is used especially in testing hypotheses concerning means of normal distributions whose standard deviations are unknown and that is the distribution of a random variable {latex}t = \frac{u\sqrt{n}}{v}{/latex} where

*u*and

*v*are themselves independent random variables and

*u*has a normal distribution with mean 0 and a standard deviation of 1 and

*v*

^{2}has a chi-square distribution with

*n*degrees of freedom

called also student's t distribution

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Merriam-Webster unabridged
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