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(Extra points. ? pts.) Martin and Bianca are going to construct confidence intervals from different simple random samples. Both confidence intervals will have level 99%. Martin's sample has standard deviation of 25 and Bianca's sample has standard deviation of 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? Explain why. (b) Which confidence interval is more likely to cover the population mean? Or are they both equally likely to do so? Explain why. (No credit will be given without any explanation.)