In Estimating the Population Mean $\mu$ When the Population Size N Is Small, the Confidence Interval

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In estimating the population mean $\mu$ when the population size N is small, the confidence interval estimator of $\mu$ is $\bar { x } \pm t _ { \omega / 2 } \cdot \frac { s } { \sqrt { n } } \sqrt { \frac { N - n } { N - 1 } }$ .