Test scores of ten individuals before and after a training program are shown bel
ID: 3398217 • Letter: T
Question
Test scores of ten individuals before and after a training program are shown below.
Individual
Score After
the Program
Score Before
the Program
1
57
59
2
62
57
3
60
60
4
63
66
5
69
68
6
63
59
7
74
72
8
56
52
9
64
58
10
64
63
Question 10
Question text
What is the sum of positive signed ranks (T+)?
Select one:
a. 71.25
b. 14.52
c. 8.44
d. 22.50
e. 36.50
Question 11
Question text
The mean µT is
Select one:
a. 22.50
b. 71.25
c. 8.50
d. 14.52
e. 8.44
Question 12
Question text
The value of T is
Select one:
a. 22.50
b. 8.44
c. 71.25
d. 8.50
e. 14.52
Individual
Score After
the Program
Score Before
the Program
1
57
59
2
62
57
3
60
60
4
63
66
5
69
68
6
63
59
7
74
72
8
56
52
9
64
58
10
64
63
Explanation / Answer
Label
Difference
Rank
Signed Rank
1
-2
3.5
-3.5
2
5
8
8
3
-3
5
-5
4
1
1.5
1.5
5
4
6.5
6.5
6
2
3.5
3.5
7
4
6.5
6.5
8
6
9
9
9
1
1.5
1.5
( 0 difference is omitted)
Wilcoxon Signed Rank Test
variables:
Score After - Score Before
36.5
sum of positive ranks
8.5
sum of negative ranks
9
n
22.500
expected value
8.441
standard deviation
1.659
z
.0972
p-value (two-tailed)
n=9
Mean = n(n+1)/4 =9*10/4=22.5
Sd =sqrt(n*(n+1)(2n+1))/24) =sqrt(9+10+19/24) =8.44
Question 10
What is the sum of positive signed ranks (T+)?
Select one:
a. 71.25
b. 14.52
c. 8.44
d. 22.50
e. 36.50
Question 11
The mean µT is
Select one:
a. 22.50
b. 71.25
c. 8.50
d. 14.52
e. 8.44
Question 12
The value of T is
Select one:
a. 22.50
b. 8.44
c. 71.25
d. 8.50
e. 14.52
Label
Difference
Rank
Signed Rank
1
-2
3.5
-3.5
2
5
8
8
3
-3
5
-5
4
1
1.5
1.5
5
4
6.5
6.5
6
2
3.5
3.5
7
4
6.5
6.5
8
6
9
9
9
1
1.5
1.5
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.