One-sample t-test statistic

Gives the t statistic for testing whether a population mean equals a hypothesised value when the population standard deviation is unknown. It is compared with a t distribution with n minus 1 degrees of freedom.

t = \frac{\bar{x} - \mu_0}{s / \sqrt{n}}

What the symbols mean

sample mean
hypothesised population mean under the null hypothesis
sample standard deviation
sample size

About this formula

  • FieldStatistics
  • TopicHypothesis testing
  • LevelUniversity
  • Also calledt-test statistic for a mean, one sample t statistic, t statistic for sample mean, student t test for mean, t score for mean, one-sample t-test formula

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