5. [See accompanying dataset: Flights on time 2016] Two questions: What are the chances your flight will leave on time? Will your flight get you to your destination on time? The Bureau of Transportation Statistics of the U.S. Department of Transportation publishes information about airline performance. Below are histograms for the percentage of flights departing on time and for the percentage of flights that were delayed each month from January 1994 through June 2016. %flights departing on time 01/1994 to 06/2016 %flights that were delayed from 1/1994 to 6/2016 # of months # of Months 70 60- 60 50- 50 40- 40 30 30- 20 20- 10 10- 0- 0+ 65 70 75 80 85 90 10 15 On time percentage 20 25 Delayed % 30 Note: We can consider these data to be a representative sample of all months. There is no evidence of a time trend (-0.07). (you will Statcrunch to answer some of the following questions when needed.) Find the following statistics for Ontime.pet and Delayed.pct Sample Sample Sample 90% Confidence interval for the mean size Mean SD Ontime.pct Delayed.pct For each measurement Ontime.pct and Delayed.pct a) Check the assumptions and conditions for inference. b) Use Statcrunch to find a 99% confidence interval for the true percentage of flights that depart on time. c) Interpret this interval for a traveler planning to fly.