STA 3024
EXAM 3
Practice Problems
Spring 2008
NOTE:
These are just Practice Problems.
This is NOT meant to look just like the
test, and it is NOT the only thing that you should study.
Make sure you know all the
material from the notes, quizzes, suggested homework and the corresponding
chapters in the book.
For each question,
i)
Select the correct answer
ii)
Write down why that answer is correct
iii)
Write down why the other alternatives are wrong
.
Questions 1 – 3:
Answer the following questions on nonparametric procedures
:
1.
Which of the following kinds of data can
be analyzed with nonparametric procedures?
a)
normal
b)
continuous
c)
ranks
d)
all of the above
2. Which of the following kinds of data should
be analyzed with nonparametric
procedures?
a)
normal
b)
continuous
c)
ranks
d)
all of the above
3.
Given that all the necessary assumptions for each test are satisfied, which are more
powerful at finding significant differences?
a)
Nonparametric procedures, since their assumptions are generally easier to
satisfy.
b)
Normalbased procedures, since they take into consideration the shape of the
distribution.
c)
Nonparametric procedures, since their assumptions are generally harder to
satisfy.
d)
Normalbased procedures, since they work for distributions of almost any
shape.
Question 4 9
As part of a project for their Intro Stat course, two students compared two
brands of chips, Frito Lays and Golden Flakes, to see which company gives you more for
your money.
Five bags of each brand (which, according to the label, each contained 35.4
grams) were measured with a very accurate scale.
Use the Wilcoxon RankSum test to
see if there are any significant differences between the two brands in the amount of
product they put in their bags.
Frito Lays:
35.3
35.4
35.8
35.9
35.9
Golden Flake: 35.3
37.8
38.8
38.1
42.5
4.
The null hypothesis is about:
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the mean contents of the bags for Frito Lays and Golden Flakes brands
b)
the mode of the contents of the bags for Frito Lays and Golden Flakes brands
c)
the distribution of the contents of the bags for the two brands
d)
the number of bags with contents below the label weight for the two brands
5.
The alternative hypothesis, according to the problem stated above, is that:
a)
Frito Lays gives you more chips than Golden Flakes
b)
Frito Lays gives you less chips than Golden Flakes
c)
Frito Lays gives you either more or less chips than Golden Flakes
d)
Golden Flakes gives you more chips than the amount stated on the label
6.
The bags that contained 35.9 grams will receive a rank of:
a)
4
b)
4.5
c)
5
d)
5.5
e)
6
7.
The pvalue for the test was 0 .1164.
We conclude that:
a)
Frito Lays gives you more chips.
b)
Golden Flakes gives you more chips.
c)
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 Spring '08
 Fasig
 Normal Distribution, Null hypothesis, Statistical hypothesis testing, Nonparametric statistics, Frito Lays, Golden Flakes

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