Question: Is there a difference in the amount of airborne bacteria between carpeted and uncarpeted rooms? In an experiment, 5 rooms were carpeted and 5 were left uncarpeted. The rooms are similar in size and function. After a suitable period of time, the concentration of bacteria in the air was measured(in units of the bacteria per cubic foot) in all these rooms. The data and summaries are provided:

Mean sd

Carpeted rooms 184 27.0

Uncarpeted rooms 172 17.9

The researcher wants to investigate whether carpet makes a difference (either increase or decreases) in the mean bacteria concentration in air. Implement a test to make a decision. Follow the four steps explained in the text on testing procedures.