Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. The results for measurements (bacteria/cubic foot) for 8 carpeted rooms and 8 uncarpeted rooms are presented in the table below. Carpeted U nca rpeted Can the researchers conclude that carpeted rooms have more bacteria than uncarpeted rooms? Use the a = 0.05 level. a. State the null and alternative hypotheses. Ho: -~/ I\" H1: -" -"" b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: AA 6-2-10]23-3-2-I0123-3-2-10123 Q Q Q Critical value(s): 1.7611 x (If there are two critical values, list both values separated by a comma) c. Find the test statistic. 1.7072 J d. Find the p-value. 0.0549 X e. Decide: Don't Reject v " H0 f. Conclusion: At a = 0.05 significance level, there ~/ enough evidence to conclude that carpeted rooms have more bacteria than uncarpeted rooms