Researchers Studied the Role That the Age of Workers Has

Researchers studied the role that the age of workers has in determining the hours per month spent on personal tasks.A sample of 1,686 adults were observed for one month.The data are: $\begin{array}{ccc}&&\text { AGE GROUP }\\& \underline{18-24} & \underline{25-44} & \underline{45-64} \\\text { Mean }& 4.17 & 4.04 & 4.31 \\\text {Std Dev}&0.75 & 0.81 & 0.82 \\\text {N}&241 & 768 & 677\end{array}$
Construct an 88 percent confidence interval for the mean hours spent on personal tasks for 18-24 year olds.

A) $\left[ \begin{array} { l l } 4.09 & 4.25\end{array} \right]$
B) $\left[ \begin{array} { l l } 4.11 & 4.23\end{array} \right]$
C) $\left[ \begin{array} { l l } 4.08 & 4.26\end{array} \right]$
D) $\left[ \begin{array} { l l } 4.14 & 4.20\end{array} \right]$
E) $\left[ \begin{array} { l l } 4.15 & 4.19\end{array} \right]$