The Two Samples Whose Statistics Are Given in the Table $\begin{array}{|c|c|c|}\hline \boldsymbol{n} & \text {Mean} & \text {SD} \\\hline 50 & 22 & 3 \\\hline 55 & 25 & 4 \\\hline\end{array}$

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?

$\begin{array}{|c|c|c|}\hline \boldsymbol{n} & \text {Mean} & \text {SD} \\\hline 50 & 22 & 3 \\\hline 55 & 25 & 4 \\\hline\end{array}$

A) 3.56
B) 3.52
C) 3.50
D) 1.87
E) 5.00

Correct Answer:

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