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Compute the 84% confidence interval for the difference between the true mean number of minutes after 10:25 that flight XZ 360 departs Sydney and the true mean number of minutes after 12:25 that flight XZ 361 departs Melbourne (that is, the true mean number of minutes after 10:25 that flight XZ 360 departs minus the true mean number of minutes after 12:25 that flight XZ 361 departs).

Compute the 84% confidence interval for the difference between the true mean number of minutes after 10:25 that flight XZ 360 departs Sydney and the true mean number of minutes after 12:25 that flight XZ 361 departs Melbourne (that is, the true mean number of minutes after 10:25 that flight XZ 360 departs minus the true mean number of minutes after 12:25 that flight XZ 361 departs).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Stats Air operates a daily flight between Sydney and Port Macquarie that has operated for five years. Flight XZ 360 is scheduled to depart Sydney at 10:25 and arrive in Port Macquarie at 11:30. Flight XZ 361 is scheduled to depart Port Macquarie at 12:25 and arrive in Sydney at 13:30. Both flights XZ 360 and XZ 361 are scheduled to take 65 minutes. Of course, often the two flights depart or arrive earlier or later than scheduled. Ruth is interested in knowing if there is a difference between the on-time performance of Sydney airport and the on- time performance of Port Macquarie airport. Ruth randomly selects 36 days in the past five years and records how many minutes after (or before) 10:25 flight XZ 360 departs from Sydney on those days. For instance instance, if a flight leaves 10 minutes early, she would record -10, and the flight is 10 minutes late, she would also record 10. She found that the average of those times is 7.2 minutes with a standard error of 2.7 minutes. Ruth also randomly selects 36 days in the past five years and records how many minutes after (or before) 12:25 flight XZ 361 departs from Port Macquarie on those days. She found that the average of those times is 14.8 minutes with a standard error of 4.8 minutes. Compute the 84% confidence interval for the difference between the true mean number of minutes after 10:25 that flight XZ 360 departs Sydney and the true mean number of minutes after 12:25 that flight XZ 361 departs Melbourne (that is, the true mean number of minutes after 10:25 that flight XZ 360 departs minus the true mean number of minutes after 12:25 that flight XZ 361 departs). Lower endpoint : Upper endpoint : (Give your answer correct to at least 5 significant figures) (Give your answer correct to at least 5 significant figures)
Transcribed Image Text:Stats Air operates a daily flight between Sydney and Port Macquarie that has operated for five years. Flight XZ 360 is scheduled to depart Sydney at 10:25 and arrive in Port Macquarie at 11:30. Flight XZ 361 is scheduled to depart Port Macquarie at 12:25 and arrive in Sydney at 13:30. Both flights XZ 360 and XZ 361 are scheduled to take 65 minutes. Of course, often the two flights depart or arrive earlier or later than scheduled. Ruth is interested in knowing if there is a difference between the on-time performance of Sydney airport and the on- time performance of Port Macquarie airport. Ruth randomly selects 36 days in the past five years and records how many minutes after (or before) 10:25 flight XZ 360 departs from Sydney on those days. For instance instance, if a flight leaves 10 minutes early, she would record -10, and the flight is 10 minutes late, she would also record 10. She found that the average of those times is 7.2 minutes with a standard error of 2.7 minutes. Ruth also randomly selects 36 days in the past five years and records how many minutes after (or before) 12:25 flight XZ 361 departs from Port Macquarie on those days. She found that the average of those times is 14.8 minutes with a standard error of 4.8 minutes. Compute the 84% confidence interval for the difference between the true mean number of minutes after 10:25 that flight XZ 360 departs Sydney and the true mean number of minutes after 12:25 that flight XZ 361 departs Melbourne (that is, the true mean number of minutes after 10:25 that flight XZ 360 departs minus the true mean number of minutes after 12:25 that flight XZ 361 departs). Lower endpoint : Upper endpoint : (Give your answer correct to at least 5 significant figures) (Give your answer correct to at least 5 significant figures)
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