Which (if any) of the following statements about the standard error is CORRECT?

A. The standard error (of the mean) is a measure of the precision of the sample estimate of the mean.

B. If we take repeated samples (of the same size) from a population, calculate the sample mean, then the standard deviation of these sample means is known as the standard error.

C. A large standard error indicates the estimate is imprecise.

D. The standard error is reduced, if the size of the sample is increased.

E. The standard error (of the mean) is the square root of the sample standard deviation.