(i) To find the mean weight of the 27 birds, use the formula for the combined mean:

\(\text{new mean} = \frac{9 \times 7.1 + 18 \times 5.2}{27} = 5.83 \text{ kg}\)

(ii) First, find \(\Sigma x_t^2\) and \(\Sigma x_g^2\) using the variance formula:

For turkeys: \(1.45^2 = \frac{\Sigma x_t^2}{9} \Rightarrow \Sigma x_t^2 = 472.6125\)

For geese: \(0.96^2 = \frac{\Sigma x_g^2}{18} - 5.2^2 \Rightarrow \Sigma x_g^2 = 503.3088\)

Now, find the combined standard deviation:

\(\text{New } s^2 = \frac{472.6125 + 503.3088}{27} - 5.83^2 = 2.117\)

\(\text{New } s = \sqrt{2.117} = 1.46 \text{ kg}\)