5. The following 16 numbers came from a normal random number generator on a computer: 5.3299 4.2537 3.1502 3.7932 1.6070 6.3923 3.1181 6.5941 3.5281 4.7433 0.1077 1.5977 5.4920 1.7220 4.1547 2.2799 a) What would you guess the mean and variance (u and o2) of the generating normal distribution were? b) Give 90%, 95%, and 99% confidence intervals for u and o2. c) Give 90%, 95%, and 99% confidence intervals for o. d) How much larger of a sample do you think you need to halve the length of the confidence interval for u