. Useless Airways advertises that, on average, its New York to London flight takes five hours and 30 minutes. The Federal Trade Commission randomly selects ten New York to London flights on Useless and finds that the sample mean is 5 hours with a sample standard deviation of 0.8 hour.

Construct a 95 percent confidence interval in the for the population mean & state why it is or not is reasonable for Useless to claim a mean flight time of 5 hours and 30 minutes?