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the variance of $Y$ is smaller than the variance of $X$ by a factor $\sqrt{1-\frac{n-1}{N-1}}$; for a derivation, see for example section 1.2 ofherethese notes.
the variance of $Y$ is smaller than the variance of $X$ by a factor $\sqrt{1-\frac{n-1}{N-1}}$, see for example here
the variance of $Y$ is smaller than the variance of $X$ by a factor $\sqrt{1-\frac{n-1}{N-1}}$; for a derivation, see for example section 1.2 ofthese notes.