Travel & Leisure conducted a survey of affordable hotels in various European countries.2 The following list shows the prices (in U.S. dollars) for one night of a double hotel room at comparable paired hotels in France and Spain.
France : 258, 289, 228, 200, 190, 350, 310, 212, 195, 175, 200, 190
Spain : 214, 250, 190, 185, 114, 285, 378, 230, 160, 120, 220, 105
Conduct a test for equality of average hotel room prices in these two countries against a two-tailed alternative. Which country has less expensive hotels? Back your answer using statistical inference, including the p-value. What are the limitations of your analysis?