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 = 0.01 level of significance? Carpeted 11.8 11.9 12.4 8 13.9 11.7 14.1 Full data set D Uncarpeted 7.6 13.9 7.9 9.4 6.4 14.4 10.6 6.2 8.3 Click the icon to view the Student's t-distribution table. What are the null and alternative hypotheses? Ho carpet Po carpet versus H₁: Pcarpet > Pno carpet Calculate the test statistic, to = (Round to two decimal places as needed.)

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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=0.01 level of
significance?
Carpeted
11.8 11.9 12.4
8
13.9 9.4
11.7 14.1
Full data set D
Uncarpeted
7.6 13.9 7.9
6.4 14.4 10.6
6.2 8.3
Click the icon to view the Student's t-distribution table.
What are the null and alternative hypotheses?
Ho carpet
Hno
versus H₁: Pcarpet
Pno carpet
carpet
Calculate the test statistic, to
to (Round to two decimal places as needed.)
Transcribed Image 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=0.01 level of significance? Carpeted 11.8 11.9 12.4 8 13.9 9.4 11.7 14.1 Full data set D Uncarpeted 7.6 13.9 7.9 6.4 14.4 10.6 6.2 8.3 Click the icon to view the Student's t-distribution table. What are the null and alternative hypotheses? Ho carpet Hno versus H₁: Pcarpet Pno carpet carpet Calculate the test statistic, to to (Round to two decimal places as needed.)
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