A population has a mean of 20,000 and a standard deviation of 1,000. Samples of size n = 2,500 are taken from this population. What is the standard error of the sample mean? A. 0.04. B. 20.00. C. 400.00. D. 8.00.
The standard error of the sample mean is estimated by dividing the standard deviation of the sample by the square root of the sample size: sx = s / n1/2 = 1000 / (2500)1/2 = 1000 / 50 = 20.