(1 point) Does one national airline consistently leave the departure gate later
ID: 3042971 • Letter: #
Question
(1 point) 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: 6.2,3.7,2.5, 4.1, 6.7,6.2,4.1,9.4, 4.1, 3.8,6.3,8.9, 3.9, 7.9, 4.2; Airline B: 8.4, 7.7,15, 13.4, 3.4, 10.3, 5.4,6.6, 8.4, 11.8, 8.8, 10.7, 14.7,4.6, 11.7; 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 nomally distributed for Airline A and not normally distributed for Airline B B. The data suggests that delay is normally distributed for Aifline A and not normally distributed for Airline B. C. The data suggests that delay is normally distributed for Airline A and normally distributed for Airline B. D. The data suggests that the variability in the delay is the same for Airline A and Airline B. E. The data suggests that the variablity in the delay is more for Airfine A than Airline B. 0 F. The data suggests that the variability in the delay is less for Airlie A than Anne B. G. The data suggests that delay is not normally distributed for Airline A and normally distributed for Airline B. b) Construct the most appropriate statistical hypotheses that will test if there is a difference between Airlines A and B MacBook Pro 5 6 7 8 9 0Explanation / Answer
Two-sample T for airline A vs airline B
N Mean StDev SE Mean
airline A 15 5.47 2.08 0.54
airline B 15 9.39 3.56 0.92
Difference = (airline A) - (airline B)
Estimate for difference: -3.93
95% CI for difference: (-6.13, -1.72)
T-Test of difference = 0 (vs ): T-Value = -3.69 P-Value = 0.001 DF = 22
a)
option A) and F) are correct
b) option E) is correct
c)
TS = -3.69
d)
p-value= 0.001
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