Question: Problem 2

An airline company claims their arrivals are on time within an average of +/- 5 minutes and a standard deviation of 2.82 minutes; Normally Distributed. You sample 50 arrivals and find an average of 6.3 minutes late. Can you be at least 90% sure that the airline company’s claim is correct? (State your percentage for your answer). Use at least three decimal places in your answers for this problem. (Show all of your calculations)