Question

Stats Air operates a daily flight between Melbourne and Canberra that has operated for six years. Flight XZ 398 is scheduled to depart Melbourne at 15:50 and arrive in Canberra at 17:00. Flight XZ 399 is scheduled to depart Canberra at 17:50 and arrive in Melbourne at 19:00. Both flights XZ 398 and XZ 399 are scheduled to take 70 minutes. Of course, often the two flights depart or arrive earlier or later than scheduled. Flights XZ 398 and XZ 399 use the same aeroplane: It goes from Melbourne to Canberra and then back. Note that Melbourne and Canberra are always in the same time zone. A flight is considered to be on time if it arrives within 5 minutes of its scheduled arrival time. If it lands more than 5 minutes after its scheduled arrival time, it is considered to be late. Andrew is interested in the on-time performance of flight XZ 398. He randomly selects 58 days in the past six years and records what time flight XZ 398 arrives in Canberra. He found that flight XZ 398 arrived late on 49 of those days. Compute the 86% confidence interval for the true proportion of days where flight XZ 398 arrives in Canberra late. Lower endpoint: (Give your answer correct to alteast 5 significant figures) Upper endpoint: (Give your answer correct to at least 5 significant figures)

Name: stats air operates a daily flight between melbourne and canberra that has operated for six years flight xz 398 is scheduled to depart melbourne at 1550 and arrive in canberra at 1700 flight 87758
Uploaded: 2023-05-08T01:22:29-08:00
Duration: 1 min 11 s
Channel: Dominador Tan
Description: stats air operates a daily flight between melbourne and canberra that has operated for six years flight xz 398 is scheduled to depart melbourne at 1550 and arrive in canberra at 1700 flight 87758

          Stats Air operates a daily flight between Melbourne and Canberra that has operated for six years.
Flight XZ 398 is scheduled to depart Melbourne at 15:50 and arrive in Canberra at 17:00.
Flight XZ 399 is scheduled to depart Canberra at 17:50 and arrive in Melbourne at 19:00.
Both flights XZ 398 and XZ 399 are scheduled to take 70 minutes. Of course, often the two flights depart or arrive earlier or later than scheduled.
Flights XZ 398 and XZ 399 use the same aeroplane: It goes from Melbourne to Canberra and then back. Note that Melbourne and Canberra are always in the same time zone.
A flight is considered to be on time if it arrives within 5 minutes of its scheduled arrival time. If it lands more than 5 minutes after its scheduled arrival time, it is considered to be late.
Andrew is interested in the on-time performance of flight XZ 398.
He randomly selects 58 days in the past six years and records what time flight XZ 398 arrives in Canberra. He found that flight XZ 398 arrived late on 49 of those days.
Compute the 86% confidence interval for the true proportion of days where flight XZ 398 arrives in Canberra late.
Lower endpoint:
(Give your answer correct to alteast 5 significant figures)
Upper endpoint:
(Give your answer correct to at least 5 significant figures)

stats air operates a daily flight between melbourne and canberra that has operated for six years flight xz 398 is scheduled to depart melbourne at 1550 and arrive in canberra at 1700 flight 87758

Added by Christy C.

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