The use of carpeting in hospitals has come under scrutiny and a study “Are Carpeted Floors Sanitary?” was performed. Airborne bacteria was collected through an experiment (don’t worry about the details) for both carpeted and uncarpeted rooms and the following data was collected: You cannot assume that the following data come from normal populations but you may assume the distribution of populations are approximately symmetric.
Carpeted Rooms |
Bacteria/cubic foot |
Uncarpeted Rooms |
Bacteria/cubic foot |
1 |
11.8 |
1 |
12.1 |
2 |
8.2 |
2 |
8.3 |
3 |
7.1 |
3 |
3.8 |
4 |
13.0 |
4 |
7.2 |
5 |
10.8 |
5 |
12.0 |
6 |
10.0 |
6 |
11.1 |
7 |
14.5 |
7 |
10.1 |
8 |
14.0 |
8 |
13.7 |
Perform a test showing null and alternative hypotheses to show that carpeted rooms have more bacteria than uncarpeted rooms. Use a level of significance of 0.05.
By using SPSS we have
NULL HYPOTHESIS H0:
ALTERNATIVE HYPOTHESIS Ha:
LEVEL OF SIGNIFICANCE= 0.05
P VALUE= 0.529/2= 0.2645
Since P value is GREATER THAN 0.05 THEREFORE NOT SIGNIFICANT
DECISION: DO NOT REJECT H0.
CONCLUSION: WE DO NOT HAVE SUFFICIENT EVIDENCE TO CONCLUDE THAT carpeted rooms have more bacteria than uncarpeted rooms. Use a level of significance of 0.05.
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