1. In 1887, was the median school-year length different for black and white chil
ID: 3311597 • Letter: 1
Question
1. In 1887, was the median school-year length different for black and white children? How about in 1915?2. In 1887, was the median salary different for black and white teachers? How about salary in 1915?
2. In 1887, was the median salary different for black and white teachers? How about salary in 1915?
Average Length of Public School Year in Days erage Monthly Pay (in dollars) of Teachers 1915 1915 County Autauga Barbour Bullock Butler Chambers Black 24.78 27.54 25.57 25.54 30.87 White 47.93 55.72 60.48 55.30 49.76 Black White Black White County BlackWhite 61 Autauga Barbour Bullock Butler Chambers 71 27.50 26.04 163 84 120 22.95 24.75 17.00 19.30 19.53 Clarke 25.93 64.23 72 Clarke Dallas Greene Hale 75 71.73 22.93 24.29 Greene 29.22 36.86 20.75 29.47 20.00 34.50 19.93 22.00 Hale 64 95 Lowndes Macon Marengo Monroc Montgomery 60 60 70 26.44 20.00 27.84 28.87 91 21.77 30.00 20.57 16.00 36.95 27.07 56.65 68.66 49.27 78.96 53.65 50.22 70.71 66.68 30.52 Montgomery Perry Pickens Russell Sumter Wilcox Source: From School and Society: Historical and Contemporary Perspectives, by Steven Tozer. Paul C. Violas, Guy B. Senese. Copyright © 1998 by McGraw-Hill 26.08 20.75 29.26 26.46 19.88 152 Pickens Russell Sumter Wilcox 14.00 31.00 27.75 25.60 152 152 62.63 Use the Wilcoxon matched-pairs signed-ranks test procedure with an = 0.05 the following questions: Are there any other analyses that you would like to conduct using these data? Explain. Conduct these analyses significance level to answer Write a report detailing your assumptions, analyses, 1. In 1887 was the median school-year length different findings, and conclusions regarding the impact of for black and white children? How about in 1915? Alabama House Bill 504 on the education provided to 2. In 1887 was the median salary different for black and black and white children. white teachers? How about in 1915?
Explanation / Answer
1)
Black
White
Diff
Rank
Signed Rank
Rank^2
89
61
28
16
16
256
85
71
14
7
7
49
106
70
36
18
18
324
82
65
17
10
10
100
131
120
11
5
5
25
65
65
0
*
*
0
82
72
10
3.5
3.5
12.25
75
60
15
8
8
64
106
74
32
17
17
289
80
64
16
9
9
81
95
71
24
13.5
13.5
182.25
83
60
23
12
12
144
70
60
10
3.5
3.5
12.25
95
70
25
15
15
225
59
63
-4
2
-2
4
100
97
3
1
1
1
96
72
24
13.5
13.5
182.25
60
60
0
*
*
0
83
71
12
6
6
36
79
79
0
*
*
0
78
60
18
11
11
121
Sum
167
Sum
2108
Z=Sum of Signed Rank/Rank^2
Sq-Rt
45.91296113
3.63731713
The Z-value is 3.6365. The p-value is 0.00028. The result is significant at p 0.05.
Black
White
Diff
Rank
Signed Rank
Rank^2
93
140
-47
7
-7
49
91
148
-57
11.5
-11.5
132.25
86
163
-77
21
-21
441
84
122
-38
4.5
-4.5
20.25
91
156
-65
16
-16
256
56
120
-64
14
-14
196
72
110
-38
4.5
-4.5
20.25
108
172
-64
14
-14
196
94
158
-64
14
-14
196
102
115
-13
1
-1
1
89
156
-67
18
-18
324
91
142
-51
8
-8
64
101
158
-57
11.5
-11.5
132.25
93
126
-33
3
-3
9
65
120
-55
10
-10
100
121
174
-53
9
-9
81
109
152
-43
6
-6
36
80
108
-28
2
-2
4
80
152
-72
20
-20
400
86
152
-66
17
-17
289
81
151
-70
19
-19
361
Sum
-231
Sum
3308
Z=Sum of Signed Rank/Rank^2
Sq-Rt
57.51521538
-4.016328522
The Z-value is -4.0145. The p-value is 0. The result is significant at p 0.05.
2)
Black
White
Diff
Rank
Signed Rank
Rank^2
22.08
26.5
-4.42
9
-9
81
29.3
23.33
5.97
11
11
121
27.5
20
7.5
13
13
169
26.04
25.56
0.48
1
1
1
31.57
38
-6.43
12
-12
144
25.93
22.95
2.98
7
7
49
22.33
24.75
-2.42
5
-5
25
34.33
17
17.33
19.5
19.5
380.25
29.22
19.3
9.92
17
17
289
36.86
19.53
17.33
19.5
19.5
380.25
20.75
18
2.75
6
6
36
29.47
26.44
3.03
8
8
64
20
20
0
*
0
0
34.5
25.18
9.32
16
16
256
19.93
21.77
-1.84
3
-3
9
22
30
-8
14
-14
196
32.39
20.57
11.82
18
18
324
14
16
-2
4
-4
16
31
36.95
-5.95
10
-10
100
27.75
27.07
0.68
2
2
4
25.6
16.3
9.3
15
15
225
Sum
96
Sum
2869.5
Z=Sum of Signed Rank/Rank^2
Sq-Rt
53.56771416
1.792124258
The Z-value is 1.792. The p-value is 0.07346. The result is not significant at p 0.05.
Black
White
Diff
Rank
Signed Rank
Rank^2
24.78
47.93
-23.15
3
-3
9
27.54
55.72
-28.18
6
-6
36
25.57
60.48
-34.91
12
-12
144
25.54
60.48
-34.94
13
-13
169
30.87
49.76
-18.89
2
-2
4
22.12
52.58
-30.46
9
-9
81
30.65
64.23
-33.58
11
-11
121
22.93
71.73
-48.8
21
-21
441
24.29
55.89
-31.6
10
-10
100
25.68
63.55
-37.87
14
-14
196
32.93
62.28
-29.35
7
-7
49
27.84
74.58
-46.74
19
-19
361
28.87
56.65
-27.78
5
-5
25
22.48
68.66
-46.18
18
-18
324
30.52
49.27
-18.75
1
-1
1
31.52
78.96
-47.44
20
-20
400
26.08
53.65
-27.57
4
-4
16
20.75
50.22
-29.47
8
-8
64
29.26
70.71
-41.45
16
-16
256
26.46
66.68
-40.22
15
-15
225
19.88
62.63
-42.75
17
-17
289
Sum
-231
Sum
3311
Z=Sum of Signed Rank/Rank^2
Sq-Rt
57.54128952
-4.014508571
The Z-value is -4.0145. The p-value is 0. The result is significant at p 0.05.
Black
White
Diff
Rank
Signed Rank
Rank^2
89
61
28
16
16
256
85
71
14
7
7
49
106
70
36
18
18
324
82
65
17
10
10
100
131
120
11
5
5
25
65
65
0
*
*
0
82
72
10
3.5
3.5
12.25
75
60
15
8
8
64
106
74
32
17
17
289
80
64
16
9
9
81
95
71
24
13.5
13.5
182.25
83
60
23
12
12
144
70
60
10
3.5
3.5
12.25
95
70
25
15
15
225
59
63
-4
2
-2
4
100
97
3
1
1
1
96
72
24
13.5
13.5
182.25
60
60
0
*
*
0
83
71
12
6
6
36
79
79
0
*
*
0
78
60
18
11
11
121
Sum
167
Sum
2108
Z=Sum of Signed Rank/Rank^2
Sq-Rt
45.91296113
3.63731713
The Z-value is 3.6365. The p-value is 0.00028. The result is significant at p 0.05.
Black
White
Diff
Rank
Signed Rank
Rank^2
93
140
-47
7
-7
49
91
148
-57
11.5
-11.5
132.25
86
163
-77
21
-21
441
84
122
-38
4.5
-4.5
20.25
91
156
-65
16
-16
256
56
120
-64
14
-14
196
72
110
-38
4.5
-4.5
20.25
108
172
-64
14
-14
196
94
158
-64
14
-14
196
102
115
-13
1
-1
1
89
156
-67
18
-18
324
91
142
-51
8
-8
64
101
158
-57
11.5
-11.5
132.25
93
126
-33
3
-3
9
65
120
-55
10
-10
100
121
174
-53
9
-9
81
109
152
-43
6
-6
36
80
108
-28
2
-2
4
80
152
-72
20
-20
400
86
152
-66
17
-17
289
81
151
-70
19
-19
361
Sum
-231
Sum
3308
Z=Sum of Signed Rank/Rank^2
Sq-Rt
57.51521538
-4.016328522
The Z-value is -4.0145. The p-value is 0. The result is significant at p 0.05.
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