Question

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.

find the p-value and conclusion

	Full data set
	Carpeted				Uncarpeted
	14.914.9	10.710.7	10.210.2		5.55.5	13.513.5	8.28.2
	14.814.8	12.112.1	99		5.25.2	6.26.2	5.35.3
	1616	15.315.3			5.65.6	10.710.7

and conclusion

Answer 1

	Carpeted	Uncarpeted
	14.9	5.5
	10.7	13.5
	10.2	8.28
	14.8	5.2
	12.1	6.2
	9	5.3
	16	5.6
	15.3	10.7
Mean	12.875	7.535	Average()
Sd	2.698015	3.07683975	STDEV()
n	8	8

Hypothesis :		α=	0.05
		df	14	n1+n2-2
Ho:	μ1​ = μ2
Ha:	μ1​ > μ2
Test :
Sp^2	8.3735665	((n1-1)S1^2+(n2-1)S2^2)/(n1+n2-2)
ts	3.690761791	(X1 bar-X2 bar )/SQRT(Sp^2*(1/n1 + 1/n2))	Equal vriance
P value :
P value	0.001210604	T.DIST.RT(ts,df)	RIGHT
Decision :
P value	<	α	Reject H0

Conclusion:

There is enough evidence to conclude that carpeted rooms contain more bacteria than uncarpeted rooms.