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In an experiment, five rooms were carpeted and five 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 bacteria per cubic metre) in all of these rooms. The data and summaries are provided:
mean | standard deviation | |
Carpeted rooms: | 184 | 27.0 |
Uncarpeted rooms: | 172 | 17.9 |
The researcher wants to investigate whether carpet makes a difference (either increases or decreases) in the mean bacterial concentration in air and decides to conduct a two-sample t statistic to compare the two sample means.
The P-value for the test (using conservative method for the degrees of freedom) is