It takes an average of 7.5 hours to fly YYZ-LGW (Toronto Pearson to London Gatwick), averaged across all airlines. Although the variance unknown, assume the flight times distribute normally.

2a. In January, AirTransat operated daily YYZ-LGW flights. A total of 244.9 flight hours were recorded during this month, with a variance of 0.64 hours. Passengers complained that January flights were slower than the rest of the year. Is there support for this complaint?

2b. A frequent flyer heads from YYZ to LGW ten times a year. What is the probability that four of the ten times will be faster than the average flight time?

2c. In an advertisement, Air Canada claims that its flights are faster than the average YYZ-LGW time. To that end, they showed five recent flight times, which took 7.2, 7.3, 7.6, 7.2, and 7.5 hours. Is this sufficient evidence to support their claim?

2d. In reference to 2c, what is the effect size, and, if necessary, power and required number of flights to show support for their claim?

2e. LHR (London Heathrow) is an alternative destination to LGW. It is possible that flying YYZ- LHR will be faster than flying YYZ-LGW. You viewed records for the last seven flights and found an average YYZ-LHR time of 7.1 hours, with a standard deviation of 0.8 hours. Is there evidence to suggest a significant difference in flight time to either LGW or LHR from YYZ?