What are the chances your flight will leave on time? A government bureau publishes information about airline performance. The accompanying histogram and summary statistics are provided for the percentage of flights departing on time each month from January 1994 through June 2016. There is no evidence of a trend over time. Complete parts a through c below.
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Part 1
a) Check the assumptions and conditions for inference. Select all that apply.
A.
All of the assumptions and conditions for inference are met.
B.
The sample is neither a random sample nor from a suitably randomized experiment.
C.
The data values are not independent.
D.
The data do not come from a distribution that is nearly Normal.
Part 2
b) Find a 90% confidence interval for the true percentage of flights that depart on time.
The 90% confidence interval is left parenthesis nothing % comma nothing % right parenthesis
.
(Round to two decimal places as needed. Use ascending order.)
Part 3
c) Interpret this interval for a traveler planning to fly. Select the correct choice below.
A.
There is 90% confidence that the probability of a given flight departing on time will fall in this interval.
B.
There is 90% confidence that true mean monthly percentage of on-time flight departures will always fall in this interval.
C.
There is 90% confidence that this interval contains the true mean monthly percentage of on-time flight departures.
D.
There is 90% confidence that the probability of all flights departing on time will fall in this interval.