## Related questions with answers

Question

In a hypothesis test of one mean, when do we use $t$ instead of $z$?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

When testing the population mean $\mu$ with a known population standard deviation $\sigma$, the test statistic is a $z$-score.

When testing $\mu$ with an unknown $\sigma$, the test statistic follows the Student’s t distribution with $n-1$ degrees of freedom.

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