Review for Test 4
STA – 3123
I. The annual percentage turnover rates for five U.S. and five Japanese plants
are shown in the table.
U.S. Plants
Japanese Plants
7.11%
3.52%
6.06%
2.02%
8.00%
4.91%
6.87%
3.22%
4.77%
1.92%
What nonparametric comparison is appropriate for the data?
a. Wilcoxon Rank Sum Test
b. Wilcoxon Signed Rank Test
c. The KruskalWallis
H
Test
d. Friedman
F
r
Test
Which parametric procedure could be used to analyze this data (assuming all the
necessary assumptions were met)?
a. Independent samples comparison of
μ
1
and
μ
2
.
b. Matched Pairs comparison of
μ
1
and
μ
2
.
c. Randomized Block Analysis of Variance design.
d. All three parametric procedures could be used.
Calculate the test statistic for determining if the U.S. Plants
have a
population distribution of turnover rates that is shifted to the right of the
Japanese Plants.
a.
T
= 16
b.
T
= 39
c.
T
= 23
d.
T
= 16 or 39 can be used.
Find the rejection region when testing a twotailed Wilcoxon
rank sum test
using
α
= .05.
a.
T
≤
19 or
T
≥
41
b.
T
≤
18 or
T
≥
37
c.
T
≤
12 or
T
≥
28
d. 18
≤
T
≥
37
Do the data provide sufficient evidence to indicate that the population
distributions of turnover rates differ for the U.S. and Japanese Plants? Use
α
= .05.
II. In 1982 there were 612,593 lawyers in USA. About 70% of these lawyers were
in private practice; about 15% worked in government; and about 9% worked
for businesses. Because of mushrooming government regulation, the number of
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View Full Documentcorporate lawyers has been growing at a rapid pace. The data are the
average salaries for lawyers with 8 years experience for 10 U.S. cities.
City
Corporate Lawyers
Lawyers with Law Firms
Atlanta
$45,500
$45,500
Chicago
43,000
48,000
Cincinnati
43,500
45,000
Dallas/Ft. Worth
49,500
46,500
Los Angeles
47,000
60,000
Milwaukee
37,500
50,000
Minneapolis/St. Paul
47,500
43,500
New York
43,500
54,000
Pittsburgh
42,000
44,000
San Francisco
47,500
59,500
What nonparametric procedure you will use to
compare the salaries?
a. Wilcoxon Rank Sum Test
b. Wilcoxon Signed Rank Test (WSR Test)
c. KruskalWallis
H
Test
d. The Friedman
F
r
Test
Calculate the WSR Test statistic for a twotailed test.
a.
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 Fall '08
 STAFF
 researcher, Nonparametric statistics, Wilcoxon signedrank test, rank sum test

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