Emily and Fred are going to construct confidence intervals from different simple random samples.

Both confidence intervals will have level 99%. Emily will use a sample of size 40 and Fred will use a sample of size 75.

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?