Javier and Rachel are going to construct confidence intervals from different simple random samples. Both confidence intervals will have level 95%. Javier will use a sample of size 50 and Rachel will use a sample of size 100.

The samples will be drawn from the same population.

a. Which confidence interval will have the larger margin of error? Or will they both be the same?

b. Which confidence interval is more likely to cover the population mean? Or are they both equally likely to do so?