The heights, \(x \mathrm{~m}\), of a random sample of 50 adult males from country \(A\) were recorded. The heights, \(y \mathrm{~m}\), of a random sample of 40 adult males from country \(B\) were also recorded. The results are summarised as follows.
\(\sum x=89.0 \quad \sum x^{2}=159.4 \quad \sum y=67.2 \quad \sum y^{2}=113.1\)

Find a \(95 \%\) confidence interval for the difference between the mean heights of adult males from country \(A\) and adult males from country \(B\).