When a population is finite, the formula that determines the standard error of the mean sigma hat v needs to be adjusted. If N is the size of the population and n is the size of the sample (where n >= 0.05N ) then the standard error of the mean is sigma overline x = sigma/(√(n)) √((N - n)/(N - 1)) . The expression √((N - n)/(N - 1)) called the finite population correction factor. Use the finite population correction factor to construct the confidence interval for the population mean described below.