Martin and Bianca are going to construct confidence intervals from different simple random samples. Both confidence intervals will have level 99%.

Martin’s sample comes from a population with standard deviation σ = 25, and Bianca’s comes from a population with

σ = 18.

Both sample sizes are the same.

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?