Suppose that many random samples of size n for a variable are taken, and the distribution of means of each sample is recorded. Select all statements that are part of the Central Limit Theorem below.
a) The sample means will be normally distributed.
b) The standard deviation of the sample means decreases as n increases.
c) The shape of the distribution of sample means approaches normality as n increases.
d) The mean of the sample means is equal to the population mean.