A survey revealed amount of pocket money held by each student in sample of students from statistics 205. The amounts (in dollars) are 5.50, 10.20, 3.15, 6.08, 4.85, 4.80, 4.70, 8.52, 7.90, 6.10, 3.50, 5.40, 7.10, 9.60, 6.20, 4.28. Supposing standard deviation is 2.00, determine the 99.74% confidence interval for the population mean.