The t-distribution with n - 1 degrees of freedom is used when testing a null hypothesis for a population variance.

Name: The t-distribution with n - 1 degrees of freedom is used when testing a null hypothesis for a population variance.
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The t-distribution with n - 1 degrees of freedom is typically used when testing a null hypothesis for a population mean, not variance, especially when the population standard deviation is unknown and the sample size is small.

The T-Distribution with N - 1 Degrees of Freedom Is