8 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 \(B\).