Question

# I need the following assignments answer two way analysis of variance test, sign test matched pairs, and

assignment 6.4 problem set. The information are attached below.

Problem Set
Student Name:
1.
Which national park has more bears? Random samples of plots of ten square miles
were taken in diFerent parts of Yellowstone National Park, Yosemite National Park and
Glacier National Park. The bear counts per square mile were recorded as shown
below:
Yellowstone
Yosemite
Glacier
2
3
8
1
0
3
4
4
5
2
1
8
We want to test whether there is a diFerence in the mean number of bear per ten
square mile plot in these three diFerent parks using a 5% level of signi±cance.
a.
State the hypotheses.
b.
Calculate the SS
TOTAL
, SS
BETWEEN
, and SS
WITHIN
.
c.
Using these values, create the summary table for your ANOVA test.
d.
²rom the table, state the test statistic and p-value, and state your conclusion
at the 5% level of signi±cance.
2.
What aFects grade point average? Does GPA depend on gender? Does GPA depend
on class (freshman, sophomore, junior, senior)? In a study, the following GPAs were
collected from random samples of college students. There are four values in each
cell:
²reshmen
Sophomore
Junior
Senior
Male
3.2, 3.6, 3.8,
3.5
3.7, 3.3, 3.6,
2.6
3.3, 3.6, 2.6, 2.4
2.3, 3.5, 3.9, 2.9
²emale
3.8, 3.6, 3.5,
3.1
2.9, 3.8, 3.1,
3.2
2.3, 2.5, 2.9, 3.5
3.0, 2.1, 2.8, 2.7
a.
List the factors and the number of levels for each factor.
b.
Suppose the test statistic and p-value for the interaction term are 0.43 and
0.736, respectively. Determine if there is any evidence of interaction between
the two factors at the 5% level of signi±cance.
c.
Suppose the test statistic and p-value for the class factor are 3.32 and 0.037,
respectively. Determine if there is any evidence of a diFerence in mean GPA
based on class at the 5% level of signi±cance.
d.
Suppose the test statistic and p-value for the gender factor are 1.26 and
0.273, respectively. Determine if there is any evidence of a diFerence in mean
GPA based on gender at the 5% level of signi±cance.
3.
A new medicinal drink is thought to help people stop smoking cigarettes. To test this,
a random sample of 18 subjects agreed to drink one drink once a day for a month.
1
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Problem Set
Data is collected for these 18 subjects based on the number of cigarettes per day
prior to starting the program, and the number of cigarettes per day after starting the
program. Below is the data for these 18 subjects:
Subject
Number before
program
Number after
program
1
24
24
2
25
19
3
14
2
4
17
17
5
25
29
6
30
19
7
18
7
8
15
18
9
11
1
10
20
5
11
30
12
12
40
21
13
26
28
14
38
17
15
10
0
16
32
15
17
18
4
18
24
18
Using a sign test for matched pairs at the .01 level of signiFcance, we will test the
claim that the number of cigarettes smoked per day was less after the program.
a.
State the null and alternative hypotheses.
b.
Compute the sample test statistic.
c.
±ind the p-value.
d.
State the conclusion at the .01 level of signiFcance.
4.
Two di²erent methods are used to help children learn how to spell. Each child was
given 60 words to spell, and it was noted how many words each child spelled
correctly. Here are the counts for both methods:
Method A
28
35
19
41
37
31
38
40
25
27
36
43
Method B
42
33
26
24
44
46
34
20
48
39
45
Use a rank-sum test at the 0.05 level of signiFcance to test the claim that there is no
di²erence between the distributions for each method.
a.
State the null and alternative hypotheses.
b.
Compute the sample test statistic.
2
Copyright©2011 Cengage Learning. All Rights Reserved.

Instuctor’s Annotated Edition
Understandable
Statistics
Concepts and Methods
Australia • Brazil • Japan • Korea • Mexico • Singapore •
Spain • United Kingdom • United States
Charles Henry Brase
Regis University
Corrinne Pellillo Brase
Arapahoe Community College
TENTH EDITION
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Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
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r
ights restrictions, some third party content may
be suppressed. Editorial
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