Construct 90, 95, and 99 percent confidence intervals for the population mean, and state the practical and problistic interpretations of each. Indicate which interpretation you think would be more appropriate to use when discussing confidence intervals and the reason for your choice. Explain why the three intervals that you construct are not of equal width. Indicate which of the three intervals you would prefer to use as an estimate of the population mean, and state your reason.
We wish to estimate the mean serum indirect bilirubin level of 4-day-old infants. The mean for a sample of 16 infants was found to be 5.98 mg/ 100 cc. Assume the bilirubin levels in 4-day-old infants are approximately normally distributed with a standard deviation of 3.5 mg/ 100 cc.