Aresearcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for he number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data re approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at he a = 0.01 level of significance? Full data set O Carpeted Uncarpeted 9.5 0.6 15 7.9 6.3 7.3 8.3 15.2 8.7 0.7 6.5 6.8 15.9 14.8 4.1 3.3 Click the icon to view the Student t-distribution table.

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Author:Amos Gilat
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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?
Full data set e
Carpeted
Uncarpeted
0.6
15
7.9
6.3
7.3
0.7
4.1
9.5
8.3
15.2
8.7
6.5
6.8
15.9
14.8
3.3
E Click the icon to view the Student t-distribution table.
What are the null and alternative hypotheses?
Ho: Hcarpet
Pno carpet versus H1: Hcarpet
Pno carpet
Calculate the test statistic, to
tn = 3.65 (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.)
OA.
tu/2 =
O B. ta
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? Full data set e Carpeted Uncarpeted 0.6 15 7.9 6.3 7.3 0.7 4.1 9.5 8.3 15.2 8.7 6.5 6.8 15.9 14.8 3.3 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: Hcarpet Pno carpet versus H1: Hcarpet Pno carpet Calculate the test statistic, to tn = 3.65 (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.) OA. tu/2 = O B. ta
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