The Economist collects data each year on the price of a Big Mac in various countries around the world. The price of a Big Mac for a sample of McDonald€™s restaurants in Europe in May 2009 resulted in the following Big Mac prices (after conversion to U.S. dollars):

The mean price of a Big Mac in the U.S. in May 2009 was $3.57. For purposes of this exercise, assume it is reasonable to regard the sample as representative of European McDonald€™s restaurants. Does the sample provide convincing evidence that the mean May 2009 price of a Big Mac in Europe is greater than the reported U.S. price? Test the relevant hypotheses using a = .05.

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3.80 5.89 4.92 3.88 2.65 5.57 6.39 3.24