Why is the central limit theorem important in statistics? a) Because for a large sample size n, it says the population is approximately normal. b) Because for any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population. c) Because for a large sample size n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population. d) Because for any sample size n, it says the sampling distribution of the sample mean is approximately normal. e) none of the above