Construct a 95% Confidence Interval for the Population Mean Using $\overline{\mathrm{x}}=10.6 \mathrm{mg} / \mathrm{dL}, \mathrm{E}=3.1 \mathrm{mg} / \mathrm{dL}$

Multiple Choice

Construct a 95% confidence interval for the population mean using the given information.
-New medication's effect on total serum cholesterol level of all patients (drop in total cholesterol) , $\overline{\mathrm{x}}=10.6 \mathrm{mg} / \mathrm{dL}, \mathrm{E}=3.1 \mathrm{mg} / \mathrm{dL}$

A) $7.6<\mu<13.8$
B) $7.5<\mu<13.7$
C) $7.4<\mu<13.9$
D) $7.6<\mu<13.6$