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...

Extracted text: 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 a = 0.05 level of significance? Full data set p Carpeted Uncarpeted 13.5 6 12.5 14.1 11 14.3 14.5 12.7 7.3 12.4 5.3 13.4 11.2 12.8 10.2 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Họ: Hcarpet Hno carpet versus H,: Hcarpet Hno carpet Calculate the test statistic, to. to = 0.30 (Round to two decimal places as needed.) Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) A. tu/2= O B. ta = 1.761 Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test statistic is not in the critical region. O B. Yes, because the test statistic is in the critical region. OC. No, because the test statistic is in the critical region. O D. Yes, because the test statistic is not in the critical region.