Researchers wanted to discover whether the median amount of bacteria in carpeted rooms was greater than that in uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for 8 carpeted rooms and 8 uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results (bacteria/cubic foot) are presented in the following table:

Is the median amount of bacteria in carpeted rooms greater than the median amount of bacteria in uncarpeted rooms? Use the α = 0.05 level of significance.

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Carpeted Rooms Uncarpeted Rooms 10.8 11.8 12.1 12.0 8.2 10.1 8.3 11.1 7.1 14.6 3.8 10.1 13.0 14.0 7.2 13.7