A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria The table shows the results for the number of bacteria per cubic foot for both types of rooms A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers Do carpeted rooms have more bacteria than uncarpeted rooms at the α = 0.01 level of significance?

Full data set Carpeted 10.9 7.9 6.1 Uncarpeted 9.8 9.2 9.3 2.9 14.3 11.6 5.1 10.7 8.7 9.6 11 11.6 11.9