If the sample size,n,equals the population size,N,then the variance of the sample mean,
,is zero.

Question

If the sample size,n,equals the population size,N,then the variance of the sample mean,  
,is zero.

Quizplus · Accepted Answer

If the sample size equals the population size, then there is only one sample possible and it is identical to the population. Therefore, the sample mean will always be equal to the population mean, and the variance of the sample mean will be zero (as there is no variability among the means of different samples because there is only one sample).

If the Sample Size,n,equals the Population Size,N,then the Variance of the Sample