What is the smallest sample size in each of following cases?

a.Suppose you want to find the mean age for young adults who commit crimes, with a maximum error of one year, with 99% of confidence level.A pilot sample of 30 young adults shows a sample standard deviation of 3 years.(Round your answer to the nearest whole number.)

b.Suppose you want to find the proportion of the people in the middle income part of the city who vote for conservatives, with maximum error of 3%, with 95% of confidence level.In a pilot sample of 50 people, 15 will vote for conservatives. (Round your answer to the nearest whole number.)