14. Researchers wanted to determine if carpeted rooms contained more bacteria than 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 eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results shown below are bacteria counts per cubic foot. Mean Standard deviation Sample size Carpeted room Uncarpeted room 11.2 2.6774 8. 9.7875 3.21 8 You want to test using a significance level of 0.01 whether the mean bacteria count is higher for carpeted rooms than for uncarpeted rooms. Test whether the mean bacteria count is higher for carpeted rooms than for uncarpeted rooms. Show all steps using the p-value method. H.: Test Statistic: Conclusion: H1: p-value:

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