A researcher wanted to determine if carpeted rooms contain more bacteria than un

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. Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the  ?=0.01 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

Determine the? P-value for this hypothesis test.

P- Value = ? (Round to three decimal places as? needed.)

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. Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the  ?=0.01 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

Determine the? P-value for this hypothesis test.

P- Value = ? (Round to three decimal places as? needed.)

Full data set Uncarpeted Carpeted 8.6 7.6 14.810.8 6 8.8 11.4 9.712.9 4.85.2 12.5 15.6 7.7 5.6 11.8

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
?1 : Mean of Carpeted
?2 : Mean of Uncarpeted
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 ? 0
(with pooled variances)

Hypothesis test results:

Hence,

P - value = 0.093

Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 2.85 1.5810682 14 1.8025787 0.093

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