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A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table...

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

Carpeted 7.8 9.5 14.3 12.3 12.7 12.3 8 7
Uncarpeted 8.9 4.6 14 10 12.9 12.3 7.7 5

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the alpha = 0.01 level of significance. Normal probability plots include that the data are approximately normal and boxplots indicate that there are no outliers.

The null and alternative hypotheses is: H0: u1=u2 H1: u1>u2. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Determine the P-value for this hypothesis test. (Round to three decimal places as needed)

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