Mya purchased 4 bags of snacks represented by a cost of S cents per bag. She also purchased 4 cups of strawberry yogurt, represented by a cost of Y cents per yogurt, 3 cups of lemon yogurt represented by L and 2 cups of vanilla yogurt represented by V. Each bag of snacks cost $0.75, each cup of strawberry and lemon yogurt is $0.50 and the vanilla yogurt is $1.00

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.