29. Departures. What are the chances your flight will leave on time? The U.S. Bureau of Transportation Statistics of the Department of Transportation publishes information about airline performance. Here are a histogram and summary statistics for the percentage of flights departing on time each month from 1995 through 2006.

There is no evidence of a trend over time. (The correlation of On Time Departure% with time is )

a) Check the assumptions and conditions for inference.

b) Find a 90% confidence interval for the true percentage of flights that depart on time.

c) Interpret this interval for a traveler planning to fly.

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# of Months 20 15 10 5 66 71 76 OT Departure % n 144 y 81.1838 S 4.47094 81 86 91