sample of size n= 100 is drawn from a normal population whose standard deviation is 6=8.2. The sample mean is x =43.55. Part 1 of 2 (a) Construct a 99.5% confidence interval for J. Round the answer to at least two decimal places. A 99.5% confidence interval for the mean is X 5 Part 2 of 2 (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain. The confidence interval constructed in part (a) (Choose one) X 5 be valid since the sample size (Choose one) |large