The central limit theorem A. states conditions under which a variable involving the sum of Y1​,..., Yn i. i.d. variables becomes the Student t distribution.
B. postulates that the sample mean is a consistent estimator of the population mean.
C. only holds in the presence of the law of large numbers.
D. states conditions under which a variable involving the sum of Y1​,..., Yn i. i.d. variables becomes the standard normal distribution.