3. (3 points) Why does the sampling distribution of X become more and more normally dis- tributed as the sample size increases even when not sampling from a normal population? (a) Because the sampling becomes more random. (b) Because the likelihood of selecting all observations from the upper or lower tail of the population distribution decreases as the sample size increases. (c) Because the variability of the sample decreases as the sample size increases. (d) Because the population mean gets closer to the sample mean. (e) Because the sampling error is reduced as the sample size increases. 4. (3 points) In order for (n - 1)S?/2 to have a chi-square sampling distribution with (n - 1) degrees of freedom, (a) the sample size must be large, at least 30 as long as the population distribution is not too strongly nonnormal. (b) the data must be sampled from a normal population. (c) the sample data should follow a chi-square distribution. (d) the variance must be known or assumed known. (e) Two of the above are true (circle the two you choose)