The following 16 numbers came from normal random number generator on a computer: 5.3299 4.2537 3.1502 3.7032 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 ( and 2) of the generating normal distribution were? b. Give 90%, 95%, and 99% confidence intervals for and 2. c. Give 90%, 95%, and 99% confidence intervals for . d. How much larger a sample do you think you would need to halve the length of the confidence interval for