4. Suppose you have a population with population with mean of u and a standard deviation of a and you take all possible samples of size 25. Suppose you take another random sample all possible samples of size 100 from the same population. Which of the following statements are true?
(a) The distribution of the population is symmetric.
(b) The distribution of both sample data are symmetric.
(c) The standard deviation of the sampling distribution of sample size 25 is more than standard deviation of the sampling distribution of sample size 100.
(d) The standard deviation of the sampling distribution of sample size 25 is less than standard deviation of the sampling distribution of sample size 100.
(e) No important information related to this situation can be determined.