Question

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

Answer 1

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 = (`barx` - `mu` )/`sqrt` (n - 1), where `mu` is the population mean of a N(`mu` ,`sigma` )population with `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` : `mu` =`(`mu`)_0`