Refer to Exercise 77. The pilot suspects that the Dubai-to- Doha outbound flight typically takes longer. If

Question:

Refer to Exercise 77. The pilot suspects that the Dubai-to- Doha outbound flight typically takes longer. If so, the difference in flight times will be positive on more days than it is negative. What if either flight is equally likely to take longer? Then we can model the outcome on a randomly selected day with a coin toss. Heads means the Dubai-to-Doha outbound flight lasts longer; tails means the Doha-to-Dubai return flight lasts longer. To imitate a random sample of 12 days, imagine tossing a fair coin 12 times.

a. Find the probability of getting 11 or more heads in 12 tosses of a fair coin.

b. The outbound flight took longer on 11 of the 12 days. Based on your result in part (a), what conclusion would you make about the Emirates pilot’s suspicion?

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.