Ononot — In a population of N=2000 employees, 1000 are in the 'Staff'

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In a population of $N=2000$ employees, $1000$ are in the 'Staff' stratum ( $S_1^2 = 100$ ) and $1000$ are in the 'Management' stratum ( $S_2^2 = 400$ ). If a stratified random sample of $n=100$ is taken using proportional allocation, what is the variance of the stratified mean $\bar{y}_{st}$ ?