Sampling theory — spotting a formula with a missing factor

Suppose $S_Y^2=\dfrac1{n-1}\sum_{r=1}^n(Y_r-\overline Y)^2$, $s_y^2=\dfrac1{N-1}\sum_{i=1}^N(y_i-\bar y)^2$, $\overline Y$ is sample mean under SRSWR, $\bar y$ is population mean, $\overline Y_{sy}$ is sample mean under systematic sampling. Which of the following statements is not true?