having to cancel flights due to insufficient number of pilots and pilot fatigue has become a major issue. Federal regulations state that a pilot must have a rest period of at least ten hours before a flight. A pilot’s advocacy group wants to find out how much rest pilots are actually getting before flights. a. The advocacy group asked 75 pilots how many hours of rest they had before their most recent flight, and found that the average rest time for this sample of pilots was 8.9 hours. Construct a 92% confidence interval for

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In this post COVID environment, airlines are having to cancel flights due to insufficient number of pilots and pilot fatigue has become a major issue. Federal regulations state that a pilot must have a rest period of at least ten hours before a flight. A pilot’s advocacy group wants to find out how much rest pilots are actually getting before flights.

a. The advocacy group asked 75 pilots how many hours of rest they had before their most recent flight, and found that the average rest time for this sample of pilots was 8.9 hours. Construct a 92% confidence interval for the average hours of preflight rest for the population of airline pilots. Assume that the population standard deviation of the preflight rest hours is 1.5 hours. 

b. How many pilots should be surveyed in this study (i.e. what sample size do you need) in order to estimate the average preflight rest hours within ± 15 minutes with 94% confidence? 

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