A sample of sizen=84is drawn from a normal population whose standard deviation is=5.3. The sample mean isx=48.08.

Part 1 of 2

(a) Construct a95%confidence interval for. Round the answer to at least two decimal places. A95%confidence interval for the mean is ?<< ?.

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)be valid since the sample size(Choose one)large.