Editing Student's t-test (section)

===One-sample ''t''-test===
A '''one-sample Student's ''t''-test''' is a [[location test]] of whether the mean of a population has a value specified in a [[null hypothesis]]. In testing the null hypothesis that the population mean is equal to a specified value {{math|''μ''<sub>0</sub>}}, one uses the statistic

: <math> t = \frac{\bar{x} - \mu_0}{s/\sqrt{n}}, </math>

where <math>\bar x</math> is the sample mean, {{math|''s''}} is the [[Standard deviation#Estimation|sample standard deviation]] and {{math|''n''}} is the sample size. The [[Degrees of freedom (statistics)|degrees of freedom]] used in this test are {{math|''n''&nbsp;−&nbsp;1}}. Although the parent population does not need to be normally distributed, the distribution of the population of sample means <math>\bar x</math> is assumed to be normal.

By the [[central limit theorem]], if the observations are independent and the second moment exists, then <math>t</math> will be approximately normal <math display="inline">\mathcal{N}(0, 1)</math>.