Subject : quantitative method

Question:

1. A research meteorologist has been studying wind patterns over the Arabian Sea. Based on these studies, a new route is proposed for commercial airlines, going from City A (in India) to City B (in Oman). The new route is intended to take advantage of existing wind patterns to reduce the flying time. It is known that for the existing route the distribution of flying times for a large four-engine jet has mean 2.32 hours with standard deviation of 0.6 hour. Five flights on the new route have yielded a mean flying time of 1.90 hours. Does this indicate that the average flying time for the new route is less than 2.32 hours? Use a 5% level of significance. (20 marks)