A random sample of 8 elephants from region \(A\) is taken and their weights, \(x\) tonnes, are recorded. ( 1 tonne \(=1000 \mathrm{~kg}\).) The results are summarised as follows.
\[\Sigma x=32.4 \quad \Sigma x^{2}=131.82\]

A random sample of 10 elephants from region \(B\) is taken. Their weights give a sample mean of 3.78 tonnes and an unbiased variance estimate of 0.1555 tonnes \(^{2}\). The distributions of the weights of elephants in regions \(A\) and \(B\) are both assumed to be normal with the same population variance. Test at the 10\% significance level whether the mean weight of elephants in region \(A\) is the same as the mean weight of elephants in region \(B\).