Question

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

In the following data pairs, A represents birth rate and B represents death rate per 1000 resident population. The data are paired by counties in the Midwest. A random sample of 16 counties gave the following information.

A:	12.7	13.2	12.8	12.1	11.4	11.1	14.2	15.1
B:	9.8	14.5	10.7	14.4	13.2	12.9	10.9	10.0

A:	12.5	12.3	13.1	15.8	10.3	12.7	11.1	15.7
B:	14.1	13.6	9.1	10.2	17.9	11.8	7.0	9.2

Do the data indicate a difference (either way) between population average birth rate and death rate in this region? Use α = 0.01. (Let d = A − B.)

What is the value of the sample test statistic? (Round your answer to three decimal places.)

Answer 1

from above test statsitic =1.110

we can not reject Ho

we do not have sufficient evidence at 0.01 level to conclude that there is a difference (either way) between population average birth rate and death rate in this region