The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 14 vans and 1 bus with 137 students. High school B rented and filled 1 van and 2 buses with 85 students. Each van carried the same number of students how many students can a van carry? How many students can a bus carry?

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.