A paper in the May 2002 issue of The Journal of Pediatrics presented the results of research onvarious characteristics in children of diabetic mothers. The studies have shown that maternal diabetes results in obesity and blood pressure complications in the offspring. Following are the arterial blood pressures, in millimeters of mercury (mm Hg), for a random sample of 16 children of diabetic mothers. 81.6 84.1 87.6 82.8 82.0 88.9 86.7 96.4 69.4 78.9 75.2 91.0 84.6 104.9 90.8 94.0.

Construct a 98% confidence interval for the population mean arterial blood pressure for all children of diabetic mothers. Assume the population is normally distributed - show your work.