Question

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of...

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 = AB.)

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


Homework Answers

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

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