(Solved): (a) option: would or would not (b) option: is or is not A sample of size n=68 is drawn from a no ...

(a) option: would or would not

(b) option: is or is not

A sample of size $n=68$ is drawn from a normal population whose standard deviation is $?=8.9$. The sample mean is $\stackrel{?}{x}=44.25$. Part 1 of 2 (a) Construct a $99.9\%$ confidence interval for $?$. Round the answer to at least two decimal places. A $99.9\%$ 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) be valid since the sample size large.