Which of the statements about the standard error of sample mean is false?
A. The larger the sample size, the smaller the standard error.
B. The standard error is the standard deviation of the sample mean due to the sampling variation.
C. The larger the standard error, the wider the confidence interval for the same confidence level.
D. If we divide the sample mean by the standard error, then the ratio is distributed as normal random variable due to the sampling variation.
E. None of above is false.