According to Harrell Associates, a provider of research for airfare benchmarking, the lowest fares for airline tickets between the United States and Europe occur two months before a flight€™s departure date. To test this claim, a random sample of seven flights to Europe was selected. The airfare for each was recorded six months before the flight€™s departure and again two months prior to departure. The data are as follows and can also be found in the Excel file Harrell.xlsx.

Perform a hypothesis test using α = 0.05 to determine if the airfares are less expensive two months prior to departure than they are six months prior to departure.

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Fare Six Months Prior to Departure () 1,452 1,577 1.260 1,082 988 1,374 1-403 Fare Two Months Prior to Departure ($) 1.306 1,332 1,289 1,234 941 ,188 1,218 Flight