Determine the P values

1.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.

Full data set

Carpeted Uncarpeted

15.6 7.6 7 6.1 7.8 8.8

7.1 13.9 6.1 12.2 12.9 10

12.8 6.7 5.4 10.2

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the =0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

Determine theP-value for this hypothesis test.

P-value=

(Round to three decimal places asneeded.)

2.Assume that both populations are normally distributed.

Construct a 99% confidence interval about 12.

Population 1 Population 2

n 20 20

x19.5 16.8

s 4.7 5.2

1=2

H1:12 determine the p value

P=

(Round to three decimal places asneed