In: Statistics and Probability
ASK YOUR TEACHER
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 environmental studies, sex ratios are of great importance. Wolf
society, packs, and ecology have been studied extensively at
different locations in the U.S. and foreign countries. Sex ratios
for eight study sites in northern Europe are shown below.
Location of Wolf Pack | % Males (Winter) | % Males (Summer) |
Finland | 62 | 65 |
Finland | 64 | 69 |
Finland | 74 | 47 |
Lapland | 55 | 48 |
Lapland | 64 | 55 |
Russia | 50 | 50 |
Russia | 41 | 50 |
Russia | 55 | 45 |
It is hypothesized that in winter, "loner" males (not present in
summer packs) join the pack to increase survival rate. Use a 5%
level of significance to test the claim that the average percentage
of males in a wolf pack is higher in winter. (Let d =
winter − summer.)
What is the value of the sample test statistic? (Round your answer
to three decimal places.)
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 | 13.4 | 12.6 | 12.3 | 11.4 | 11.1 | 14.2 | 15.1 |
B: | 9.8 | 14.3 | 10.7 | 14.2 | 13.0 | 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.)