Confidence interval: Unpooled t-test

Farmed salmon and wild salmon are randomly sampled. We can't assume that population standard deviations are equal.

Sample SizeMean (ng/g)Standard DeviationFarmed Salmon27308Wild Salmon243913\begin{array}{|l|c|c|c|}\hline & \text{Sample Size} & \text{Mean (ng/g)} & \text{Standard Deviation}\\\hline \text{Farmed Salmon} & 27 & 30 & 8\\\hline \text{Wild Salmon} & 24 & 39 & 13\\\hline \end{array}

Construct a 99% confidence interval for the difference in mercury levels.

Which type of salmon should you eat?