Refer to Exercise 77. Explain why it is not appropriate to perform a paired t test about the true mean difference (Outbound − Return) in flight times between Dubai and Doha. See Exercise 94 for an alternative approach to perform a significance test in this setting.

Exercise 77.

Emirates Airline offers one outbound flight from Dubai, United Arab Emirates, to Doha, Qatar, and one return flight from Doha to Dubai each day. An experienced Emirates pilot suspects that the Dubai-to Doha outbound flight typically takes longer. To find out, the pilot collects data about these flights on a random sample of 12 days. The table displays the flight times in minutes.

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Day 1 3 4 5 6 7 9 10 11 12 Outbound (Dubai 305 0.200 = 20.0% 1526 75 42 62 63 54 46 52 50 42 46 43 52 %3D Doha) Return (Doha → 305 42 37 37 44 42 40 41 44 41 42 48 48 0.200 = 20.0% 1526 Dubai)