The sum of the digit of a two digit counting number is 14 . When the digits are reversed, the new number is 36 less than the original number . Which system of equations can be used to solve for both numbers if x represents the tens digit and y represents the unit digits

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t.inv.2t to find the value of t for the interval calculation.