Suppose you have a sample data set S = {9, 12, 15, 16, 19, 21, 22, 29, 31, 32} (the set is already sorted). What are the empirical cumulative density values (from least to greatest) (as decimals) for this sample? Here, F(x) is the associated CDF value for x in your sample. Round to 4 decimals. F(9) [a] F(16) [b] Specified Answer for: a [None Given] Specified Answer for: b Specified Answer for: c Specified Answer for: d [None Given] [None Given] [None Given] F(22) [c] ... F(Smax) [d] Construct a discrete standard-normally distributed data set of size n = 10 and call the values zk (from least to greatest) using R. The only functions that you need to do this efficiently are qnorm(...) and seq(...). What are the values of this artificially-generated discrete-normal data set? Round to 4 decimals. Z1(x) [a] Z4(x) [b] Z7(x) [c] Zn(x) [d] Note: This is not the sample as getting a random sample from a standard-normally distributed population. You should be able to explain why. Specified Answer for: a Specified Answer for: b Specified Answer for: c Specified Answer for: d [None Given] [None Given] [None Given] [None Given]