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 Uncarpeted Carpeted 9.1 10.1 13.6 13.6 13.1 7.8 10.6 12 10.8 8.6 9.9 12.6 9.3 9.5 4.5 12.4 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. OA Ho H1 H2 H

Linear Algebra: A Modern Introduction
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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 setO
Uncarpeted
Carpeted
13.6
13.1
9.1
7.8
10.1
13.6
12.6
8.6
9.3
10.6
12
10.8
9.5
9.9
4.5
12.4
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 altemative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.
OA. Ho H1 H2
O B. Ho H1<H2
C. Ho H1 H2
OD. Ho H1 -H2
Determine the P-value for this hypothesis test.
P-value = 0.351 (Round to three decimal places as needed.)
State the appropriate conclusion. Choose the correct answer below.
O A. Reject H. There is not significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted room
O B. 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 C. Do not reject H,. There is not significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpete
rooms.
O D. Do not reject Hn. There is 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 setO Uncarpeted Carpeted 13.6 13.1 9.1 7.8 10.1 13.6 12.6 8.6 9.3 10.6 12 10.8 9.5 9.9 4.5 12.4 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 altemative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. OA. Ho H1 H2 O B. Ho H1<H2 C. Ho H1 H2 OD. Ho H1 -H2 Determine the P-value for this hypothesis test. P-value = 0.351 (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. O A. Reject H. There is not significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted room O B. 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 C. Do not reject H,. There is not significant evidence at the a = 0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpete rooms. O D. Do not reject Hn. There is 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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