Suppose we caught 64 fish from lake Superior and their average weight is 5 Ib. Assume that we know the true variance of the population weight, which is 16, Find (a) A 95% confidence interval for the population average weight of all fish in lake Superior. (b) A 90% confidence interval for the population average weight of all fish in lake Superior. Note: (0) = 0.5, 9(1.28) = 0.9, (1.645) = 0.95, (1.96) = 0.975