The Two Samples Whose Statistics Are Given in the Table $\begin{array}{|c|c|c|}\hline \boldsymbol{n} & \text {Mean} & \text {SD} \\\hline 12 & 45 & 6 \\\hline 16 & 41 & 8 \\\hline\end{array}$

Multiple Choice

The two samples whose statistics are given in the table are thought to come from populations with equal variances. What is the pooled estimate of the population standard deviation?

$\begin{array}{|c|c|c|}\hline \boldsymbol{n} & \text {Mean} & \text {SD} \\\hline 12 & 45 & 6 \\\hline 16 & 41 & 8 \\\hline\end{array}$

A) 10
B) 7.22
C) 7.14
D) 2.65
E) 7