Suppose you are trying to determine the capacity (in gallons) of the gas tank needed on an airplane you are constructing. You want to be able to travel 3200 nautical miles without stopping, and have gathered data on the amount of fuel similar planes used during flights of comparable length.

Consider a sample with the following properties: x = 261.5, s = 18.73, n = 26

A) Calculate a confidence interval with a = 0.10

B) Calculate a confidence interval with a = 0.05

C) Calculate a confidence interval with a = 0.01

D) How would you interpret the results?

E) What would you set the capacity of the fuel tank at? Why?