Need help with these two questions please

1 1. (1 pts) Assume the population standard deviation is 15, and a woman would like to estimate the mean IQ score to within plus or minus 2 IQ points with 99% confidence. How large should the sample be so that she can attain her desired accuracy? 12. (1 pt)A New York Times poll interviewed 1025 women and 472 men randomly selected from the US concerning their opinions about the death penalty. The poll announced a margin of error of (plus or minus) 3 percentage points with 95% confidence for conclusions about the women. The margin of error for results concerning men was (plus or minus) 4 percentage points. Why is the margin of error for men larger than the margin of error for women