Statistics Solutions

(See Solution) Red Baron airlines serves hundreds of cities each day, but competition is increasing from smaller companies affiliated with major carriers. One

Question: Red Baron airlines serves hundreds of cities each day, but competition is increasing from smaller companies affiliated with major carriers. One of the key competitive priorities is on-time arrivals and departures. Red Baron defines on time as any arrival or departure that takes place within 15 minutes of the scheduled time. To stay on top of the market, management set the high standard of 98 percent on-time performance. The operations department was put in charge of monitoring the performance of the airline. Each week, a sample of 300 flight arrivals and departures was checked for schedule performance. The following table shows the number of arrivals and departures over last 30 weeks that did not meet Red Baron’s definition of on-time service. What can you tell management about the quality of service? Can you identify any nonrandom behavior in the process? If so, what might cause the behavior?

Sample Late planes Sample Late planes Sample Late planes
1 3 11 3 21 12
2 8 12 5 22 10
3 5 13 7 23 6
4 11 14 9 24 2
5 7 15 12 25 1
6 2 16 5 26 8
7 12 17 4 27 4
8 9 18 9 28 5
9 1 19 13 29 8
10 8 20 4 30 2

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