Suppose you took a large number of random samples of size n from a large population and calculated the mean of each sample. Then suppose you plotted the distribution of your sample means in a histogram. Now consider the following possible attributes of your collected data and the population from which they were sampled. For which of the following sets of attributes would you not expect your histogram of your sample means to follow a nearly normal distribution?
A) n = 10. The population distribution is unknown, but the distribution of data in each sample is heavily skewed.
B) n = 120. The population distribution is slightly skewed.
C) n = 20. The population distribution is nearly normal.
D) n = 120. The population distribution is unknown, but the distribution of data in each sample is slightly skewed.