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 x= 0.05 level of significance? What are the null and alternative hypotheses? Carpeted Uncarpeted 9.7 9.5 6.1 7.9 5.1 11.1 12.7 8.2 14.1 5.4 12.2 5.4 11.8 15.6 9.7 10.6 Ho: carpet Calculate the test statistic, to to no carpet versus H Hcarpet (Round to two decimal places as needed.) no carpet