Stats Air operates a daily flight between Sydney and Launcheston that has operated for six years. Flight XZ 278 is scheduled to depart Sydney at 15:50 and arrive in Launcheston at 17:35. Flight XZ 279 is scheduled to depart Launcheston at 18:25 and arrive in Sydney at 20:10. Both flights XZ 278 and XZ 279 are scheduled to take 105 minutes. Of course, often the two flights depart or arrive earlier or later than scheduled. Flights XZ 278 and XZ 279 use the same aeroplane: It goes from Sydney to Launcheston and then back. Note that Sydney and Launcheston are always in the same time zone. If the inbound flight XZ 278 arrives in Launcheston late, then it will probably cause the outbound flight XZ 279 to also arrive in Sydney late. Mark randomly selects 43 days in the past six years. On each of those days, he records the number of minutes after (or before) 17:35 that the inbound flight arrives in Launcheston and the number of minutes after (or before) 20:10 that the outbound flight arrives in Sydney and then takes the difference between the two times recorded for each of those days. He found the average of those time differences to be 7 minutes with a standard deviation of 5.6 minutes. Compute the 92% confidence interval for the true mean difference between the number of minutes that the inbound flight XZ 278 arrives late and the number of minutes that the outbound flight XZ 279 arrives late on any given day. 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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Stats Air operates a daily flight between Sydney and Launcheston that has operated for six years.
Flight XZ 278 is scheduled to depart Sydney at 15:50 and arrive in Launcheston at 17:35.
Flight XZ 279 is scheduled to depart Launcheston at 18:25 and arrive in Sydney at 20:10.
Both flights XZ 278 and XZ 279 are scheduled to take 105 minutes. Of course, often the two flights depart or arrive
earlier or later than scheduled.
Flights XZ 278 and XZ 279 use the same aeroplane: It goes from Sydney to Launcheston and then back. Note that
Sydney and Launcheston are always in the same time zone.
If the inbound flight XZ 278 arrives in Launcheston late, then it will probably cause the outbound flight XZ 279 to also
arrive in Sydney late.
Mark randomly selects 43 days in the past six years. On each of those days, he records the number of minutes after
(or before) 17:35 that the inbound flight arrives in Launcheston and the number of minutes after (or before) 20:10 that
the outbound flight arrives in Sydney and then takes the difference between the two times recorded for each of those
days. He found the average of those time differences to be 7 minutes with a standard deviation of 5.6 minutes.
Compute the 92% confidence interval for the true mean difference between the number of minutes that the inbound
flight XZ 278 arrives late and the number of minutes that the outbound flight XZ 279 arrives late on any given day.
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 Launcheston that has operated for six years. Flight XZ 278 is scheduled to depart Sydney at 15:50 and arrive in Launcheston at 17:35. Flight XZ 279 is scheduled to depart Launcheston at 18:25 and arrive in Sydney at 20:10. Both flights XZ 278 and XZ 279 are scheduled to take 105 minutes. Of course, often the two flights depart or arrive earlier or later than scheduled. Flights XZ 278 and XZ 279 use the same aeroplane: It goes from Sydney to Launcheston and then back. Note that Sydney and Launcheston are always in the same time zone. If the inbound flight XZ 278 arrives in Launcheston late, then it will probably cause the outbound flight XZ 279 to also arrive in Sydney late. Mark randomly selects 43 days in the past six years. On each of those days, he records the number of minutes after (or before) 17:35 that the inbound flight arrives in Launcheston and the number of minutes after (or before) 20:10 that the outbound flight arrives in Sydney and then takes the difference between the two times recorded for each of those days. He found the average of those time differences to be 7 minutes with a standard deviation of 5.6 minutes. Compute the 92% confidence interval for the true mean difference between the number of minutes that the inbound flight XZ 278 arrives late and the number of minutes that the outbound flight XZ 279 arrives late on any given day. 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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