How can a t-statistic be used to determine statistical significance?

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How can a t-statistic be used to determine statistical significance?

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Answer 1 · 2015-10-29T05:17:20

Using tests based on Student's T statistics, one can test the significance of a population mean, or test equality of two population means.

Explanation:

For eg; the statistic: t = ( $¯ x$ $barx$ - $μ$ $mu$ )/ $\sqrt{}$ $sqrt$ (n - 1), where $μ$ $mu$ is the population mean of a N( $μ$ $mu$ , $σ$ $sigma$ )population with $σ$ $sigma$ unknown, follows student's t with n- 1, degrees of freedom and it can be used to test the significance of the hypothesis $H_{0}$ $H_0$ : $μ$ $mu$ = $($ $($ mu $)_{0}$ $)_0$

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How can a t-statistic be used to determine statistical significance?

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