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Stats Air operates a daily flight between Sydney and Griffith that has operated for six years. Flight XZ 966 is scheduled to depart Sydney

 

Stats Air operates a daily flight between Sydney and Griffith that has operated for six years. Flight XZ 966 is scheduled to depart Sydney at 11:35 and arrive in Griffith at 13:10. Flight XZ 967 is scheduled to depart Griffith at 14:00 and arrive in Sydney at 15:35. Both flights XZ 966 and XZ 967 are scheduled to take 95 minutes. Of course, often the two flights depart or arrive earlier or later than scheduled. Flights XZ 966 and XZ 967 use the same aeroplane: It goes from Sydney to Griffith and then back. Note that Sydney and Griffith are always in the same time zone. Because of the rotation of the earth, we might not expect flights from Sydney to Griffith to take on-average the same amount of time as flights from Griffith to Sydney. Anita randomly selects 49 days in the past six years and records the actual flight time of flight XZ 966 on those days. She found that the average of those times flight times was is 91 minutes with a standard deviation of 5.6 minutes. Anita also randomly selects 49 days in the past six years and records the actual flight time of flight XZ 967 on those days. She found that the average of those times flight times was is 102.5 minutes with a standard deviation of 6.5 minutes. Compute the 97% confidence interval for the true mean flight time of flight XZ 966 and the true mean flight time of flight XZ 967 (that is, the true mean flight time of flight XZ 966 minus the true mean flight time of flight XZ 967). Lower endpoint: -14.159684 (Give your answer correct to at least 5 significant figures) Upper endpoint: -8.840316 (Give your answer correct to at least 5 significant figures)

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