The mean and standard deviation of a random sample of n measurements are equal to 33.5 and 3.7, respectively. a. Find a 99% confidence interval for μ if n = 144. b. Find a 99% confidence interval for μ if n = 576. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 99% confidence interval for μ if n = 144 is approximately (D). H (Round to three decimal places as needed.) b. The 99% confidence interval μ if n = 576 is approximately (D). (Round to three decimal places as needed.)