In an air-pollution study performed at an experiment station, the following amount of suspended benzenesoluble organic matter (in micrograms per cubic meter) was obtained for eight different samples of air:

\[\begin{array}{llllllll}2.2 & 1.8 & 3.1 & 2.0 & 2.4 & 2.0 & 2.1 & 1.2\end{array}\]

Assuming that the population sampled is normal, construct a \(95 \%\) confidence interval for the corresponding true mean.