We obtain an interval estimate for the average income of Maryland residents. A team of researchers collects a sample and calculates a 95% confidence interval. Later, upon receiving more research funds, they decide to obtain a larger sample to improve their estimate. The variance of the new big sample turns out to be very close to the variance of the old sample. They calculate a 95% confidence interval with the new sample as well. Which confidence interval is wider?
Group of answer choices:
a.) The new one
b.) The old one