19.127
:H0
The two population locations are the same
:H1
The location of population 1 is different from the location of population 2
19.128
:H0
The two population locations are the same
:H1
The location of population 1 is to the right of the location of population 2
1
2
3
4
5
6
A B C D
Kruskal-Wallis Test
Group Rank Sum Observations
Sunday 10060 63
Monday 2977 26
Tuesday 2932.5 29
1
2
3
4
A B C D E F
Sign Test
Difference Commercial 1 – Commercial 2
19.129
:H0
The two population locations are the same
:H1
The location of population 1 is to the left of the location of population 2
19.130
0:H S1
1
2
3
4
A B C D
Wilcoxon Signed Rank Sum Test
Difference Men – Women
1
2
3
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
1
2
3
A B C D
Spearman Rank Correlation
Reference and GPA
19.131
:H0
The two population locations are the same
:H1
The location of population 1 is different from the location of population 2
19.132
:H0
The two population locations are the same
:H1
The location of population 1 is to the right of the location of population 2
19.133
:H0
The two population locations are the same
:H1
The location of population 1 is to the right of the location of population 2
1
2
3
4
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
Males 10336.5 100
1
2
3
4
A B C D E
Sign Test
Difference Before – After
19.134
:H0
The two population locations are the same
:H1
The location of population 1 is to the left of the location of population 2
19.135a
:H0
The two population locations are the same
:H1
The location of population 1 is to the right of the location of population 2
1
2
3
4
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
2 Years Ago 10786.5 100
1
2
3
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
1
2
3
4
5
A B C D E F G
Sign Test
Difference Female Professor – Male Professor
Positive Differences 45
z = 5.27, p-value = 0. There is enough evidence to infer that female students rate female professors
higher than they rate male professors.
b
:H0
The two population locations are the same
:H1
The location of population 1 is to the left of the location of population 2
19.136
:H0
The locations of all 3 populations are the same.
:H1
At least two population locations differ.
19.137
:H0
The two population locations are the same
:H1
The location of population 1 is to the right of the location of population 2
1
2
3
4
A B C D E F G
Sign Test
Difference Female Professor – Male Professor
1
2
3
4
A B C D
Kruskal-Wallis Test
Group Rank Sum Observations
Unattractive
16844.5 134
19.138
:H0
The two population locations are the same
:H1
The location of population 1 is to the left of the location of population 2
19.139
:H0
The two population locations are the same
:H1
The location of population 1 is to the right of the location of population 2
Day 1versus Before
1
2
3
4
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
Telecommuters 10934.5 100
1
2
3
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
1
2
3
A B C D E
Sign Test
Difference Before – Day 1
z = 8.19, p-value = 0
Day 2 versus Before
4
Day 3 versus Before
There is enough evidence to infer that exercisers who abstain from physical activity are less happy
than when they are exercising.
b
:H0
The two population locations are the same
1
2
3
A B C D E
Sign Test
Difference Before – Day 2
1
2
3
4
A B C D E
Sign Test
Difference Before – Day 3
were improving.
c 1. Exercisers who abstained were adjusting to their inactivity by the third day. 2. By the third
day exercisers realized that they were closer to the end of their inactivity.
Case 19.1
a Wilcoxon rank sum tests
0
H
: The two population locations are the same.
:H1
The location of population 1 is to the left of the location of population 2.
Quality of work
1
2
3
4
A B C D E
Sign Test
Difference Day 2 – Day 3
1
2
3
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
Explanation of work and guarantee
Checkout process
1
2
3
4
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
No 1477 26
1
2
3
4
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
No 1656 26
1
2
3
4
A B C D E
Wilcoxon Rank Sum Test
Rank Sum Observations
No 1461 26
b Kruskal-Wallis tests
0
H
: The location of all 3 populations is the same
:H1
At least two population locations differ
Quality of work
Fairness of price
1
2
3
A B C D
Kruskal-Wallis Test
Group Rank Sum Observations
1
2
3
4
A B C D
Kruskal-Wallis Test
Group Rank Sum Observations
Positive 2381.5 33
Explanation of work and guarantee
Checkout process
1
2
3
4
A B C D
Kruskal-Wallis Test
Group Rank Sum Observations
Positive 2291 33
1
2
3
4
A B C D
Kruskal-Wallis Test
Group Rank Sum Observations
Positive 1933.5 33