A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Full data set Carpeted 15 Uncarpeted 8 12.5 5.4 13.4 7.8 13.3 9.6 10.6 7 4.1 13.4 15.5 10.9 4.7 12.1 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. O A. Ho: H1 = H2 H1: H1 > H2 O B. Ho: 41 = H2 H1: Hy # H2 OC. Ho: H1 H2 O D. Ho: H1 = H2 H1: H1

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A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.
Full data set
Carpeted
15
Uncarpeted
8
12.5
5.4
13.4
7.8
13.3
9.6
10.6
7
4.1
13.4
15.5
10.9
4.7
12.1
Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.
O A. Ho: H1 = H2
H1: H1 > H2
O B. Ho: 41 = H2
H1: Hy # H2
OC. Ho: H1 <H2
H1: 41> H2
O D. Ho: H1 = H2
H1: H1 <H2
Determine the P-value for this hypothesis test.
P-value =
(Round to three decimal places as needed.)
State the appropriate conclusion. Choose the correct answer below.
O A. Reject Ho. There is significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.
B. Do not reject Ho. There is not significant evidence at the a =0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.
O C. Do not reject Ho. There is significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.
O D. Reject Ho. There is not significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.
Transcribed Image Text:A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Full data set Carpeted 15 Uncarpeted 8 12.5 5.4 13.4 7.8 13.3 9.6 10.6 7 4.1 13.4 15.5 10.9 4.7 12.1 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. O A. Ho: H1 = H2 H1: H1 > H2 O B. Ho: 41 = H2 H1: Hy # H2 OC. Ho: H1 <H2 H1: 41> H2 O D. Ho: H1 = H2 H1: H1 <H2 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. O A. Reject Ho. There is significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. B. Do not reject Ho. There is not significant evidence at the a =0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O C. Do not reject Ho. There is significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O D. Reject Ho. There is not significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.
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