(i) To find the number of different lists Hannah can make, we use permutations since the order matters. The number of ways to choose and arrange 5 singers from 15 is given by the permutation formula:

\(^{15}P_5 = \frac{15!}{(15-5)!} = \frac{15!}{10!}\)

Calculating this gives:

\(15 \times 14 \times 13 \times 12 \times 11 = 360360\)

Thus, there are 360360 different lists.

(ii) For the specific order of performers (male, female, male, female, male), we calculate the number of ways to choose each performer:

- First performer (male): 5 choices

- Second performer (female): 10 choices

- Third performer (male): 4 choices (since one male is already chosen)

- Fourth performer (female): 9 choices (since one female is already chosen)

- Fifth performer (male): 3 choices (since two males are already chosen)

The total number of lists is:

\(5 \times 10 \times 4 \times 9 \times 3 = 5400\)

Thus, there are 5400 such lists.