Lets not confuse the issue please!
Conception takes place in the majority of cases, during the second week following the females period. At the time of conception, you are classed as 2 weeks pregnant as it is 2 weeks since you first started your period.
A baby can be born at 38 weeks and be perfectly healthy JB, but a baby can also be born at 42 weeks and be severely ill (like my brother was at birth). Weight, size, and development all come into play aswell as other factors. No one birth is the same and no one pregnancy is the same either.
Being born at 32 weeks Rain, can still mean a stay in SCBU due to underdeveloped lungs and other organs of the baby, although it can also not be required.
The majority of births happen between 38 weeks and 42 weeks gestation. Inducement of labours dont normally occur, unless for major medical reasons until 38 weeks or after to try and ensure that there are no problems incurred.
Your sister in law and yourself should still hope that your niece is not born for a few weeks yet.