A Conservationist Wants to Know If the Average Water Level(in $\alpha = 0.01$

Essay

A conservationist wants to know if the average water level(in meters) in Horseshoe Lake is more than the average water level in Swan Lake. Test his hypothesis at $\alpha = 0.01$
$\begin{array}{|l|l|l|}\hline & \text { Horseshoe Lake } & \text { Swan Lake } \\\hline \bar{x} & 43 & 38 \\\hline \sigma & 3.2 & 2.4 \\\hline n & 23 & 23 \\\hline\end{array}$