Researchers Have Studied the Role That the Age of Workers

Researchers have 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: $\begin{array} { l c c c } & & { \text { AGE GROUP } } \\& \underline { 18 - 24 } & \underline {25 - 44 }& \underline { 45 - 64 } \\\text { Mean } & 4.17 & 4.04 & 4.31\\\text { Std DeV } & 0.75 & 0.81 & 0.82 \\\text { N } & 241 & 768 & 677\end{array}$
Construct a 98 percent confidence interval for the mean hours spent on personal tasks for 25-44 year olds.

A) $\left[ \begin{array} { l l } 3.96 & 4.12\end{array} \right]$
B) $\left[ \begin{array} { l l } 3.97 & 4.11\end{array} \right]$
C) $[ 3.98$$\quad$$4.10 ]$
D) $[ 2.16 \quad 5.92 ]$
E) $\left[ \begin{array} { l l } 3.95 & 4.13\end{array} \right]$