27.Researchers wanted to determine if carpeted bathrooms contained more bacteria than

uncarpeted bathrooms. Researchers pumped air from randomly chosen bathrooms over a Petri

dish. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results are presented

in the table. Assume the data is approximately normal and independent. Do carpeted

bathrooms have more bacteria than uncarpeted bathrooms at the a = 0.05 level of

significance? (the units are bacteria/cubic foot)

Carpeted Bathrooms

10.8

11.8

8.2

10.1

7.1

13.0

14.6

14.0

12.1

8.3

Uncarpeted Bathrooms

3.8

7.2

12.0

11.1

10.1

13.7