for each follow question construct 90, 95 and 99 precent confidence intervals for the population mean，and state the practical and probabilistic in terpretations of each. Indicate which interpretation you think would be more appropriate to use when discussing confidence intervals with someone who has not had a course in statistics, and state the reason for your choice. Explain why the three intervals that you construct are not equal width. Indicate which of the three intervals you would prefer to use as an estimate of the ppulation mean, and state the reason for your choice
1）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 that bilirubin level in 4-years-old infants are approximately normally distributed with a standard deviation of 3.5 mg/100cc.