Help with these hw question.

(10) Assume the sample below is independent and comes from a population that is nor- mally distributed. 2.3 7.9 7.9 7.3 6.2 3.1 4.8 8.8 1.6 6.5 1.3 7.2 8.8 3.9 6.3 5.8 7.7 8.5 1.0 3.7 7.8 4.6 6.1 5.3 2.4 7.2 3.7 3.2 9.1 6.1 (a) (6pts) Construct a 95% confidence interval for the population mean. (b) (9pts) If I want to construct a 98% confidence interval for the population mean with a margin of error at most 0.5, how large of a random sample do I need? Use the sample standard deviation as if it were the population standard deviation. (You do not actually need to construct the confidence interval in this problem). (11) (2 Points Extra Credit) Suppose a simple random sample of size n is taken from a population. Clearly state the formula for constructing a (1 - o) . 100% confidence interval for a population mean /. (This is what you would use if you did not have a