please explain why the following 4 statements are true

Which of the following statements about the sampling distlibution of the mean [distribution of sample means} and the central limit theorem {CLTJ are the? Select four (4] true statements from the list below: 0' l: - If p; = p and 0': = T, then the distribution of sample means is normal. 11. [1 - The larger the sample size, the larger the difference between the mean of the sampling distribution and the population mean. - The shape of the sampling distribution is closer to the population shape as the sample size increases. - The sampling distribution is always approximately normal even if the population is not normal. - The smaller the sample size, the larger the standard error. - The sampling distribution of the mean will be approximately normal when n is large. llflfl - From the same population, the standard error of the sampling distribution with n. = 17 will be larger than the standard error with n = 32. [1 - If the population is normally distributed, then sample size does not matter for the central limit theorem to apply. I: - From the same population, the mean of the sampling distribution {Pl-g] with n = 5 will be smaller than the mean with n = 15- l: - The sampling distribution is still assumed to be approximately normal if the underlying population is negatively skewed as long as the population is large. C - If a population is perfectly normal, then for the distribution of sample means of any size, [1.5 = p. and 03- = a