A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the

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A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the number of bacteria per cubic foot for random samples of both types of rooms.

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Test whether the median amount of bacteria in carpeted rooms was greater than the median amount of bacteria in uncarpeted rooms at the \(\alpha=0.05\) level of significance.

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