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Does one national airline consistently leave the departure gate later than the another, or not? To determine this, random samples of 15 flights from each airline were taken on a randomly chosen weekday during the summer months (when there are no weather issues). The difference in minutes between the time the flight is to pull-away from the gate and the actual time the flight pulled away from the gate is the variable being measured, a variable called the "delay". Positive values indicate the flight was late in pulling away from the gate (negative values indicate the flight left the gate earlier than scheduled). The data is given here. Use alpha = 0.05 for all calculations below Airline A: 6.7, 5, 3.6, 4.8, 4.5, 4.8, 6.1, 4.6, 3.7, 9.1, 1.7, 3.7, 4.3, 9, 3.3; Airline B: 6.9, -0.8, 8.1, 13, 12.6, -1.3, 14.4, 1.6, 3.6, 10.5, 11.9, -0.1, 14.6, 15.1, 18.1; Download .csv file You wish to conduct a statistical test to see if there is a difference between Airlines A and B in the variable "delay". (a) Does this data indicate that the variable of interest is normally distributed? Use available technology to create the most appropriate graph or graphs. Select the statement that is closest to your findings. A. The data suggests that delay is not normally distributed for Airline A and not normally distributed for Airline B. B. The data suggests that delay is normally distributed for Airline A and not normally distributed for Airline B. C. The data suggests that the variability in the delay is more for Airline A than Airline B. D. The data suggests that delay is normally distributed for Airline A and normally distributed for Airline B. E. The data suggests that the variability in the delay is less for Airline A than Airline B. F. The data suggests that delay is not normally distributed for Airline A and normally distributed for Airline B. G. The data suggests that the variability in the delay is the same for Airline A and Airline B. (b) Construct the most appropriate statistical hypotheses that will test if there is a difference between Airlines A and B. A. H0:A=BHA:AB B. H0:~A=~BHA:~A~B C. H0:A=BHA:A>B D. H0:~A=~BHA:~A>~B E. H0:~A=~BHA:~A<~B F. H0:A=BHA:A

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(d) Determine the P-value of your statistical test in part (c), and report it to at least four decimal places. P=

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(e) At =0.05, this data suggested that the null hypothesis should ? be rejected. not be rejected There is ? a significant difference not a significant difference between the delay in Airline A flights and Airline B flights.