A researcher wanted to know what factors determine a state public employee’s annual salary; especially, whether there was a gender pay gap in the state government. (coded 0 if male; coded 1 if female). Salary Gender Years Of Service Years Of Education 52,100 0 5 13 55,015 0 20 13 55,520 0 23 12 43,430 0 7 12 43,813 0 5 12 51,903 0 6 12 54,580 0 24 14 54,913 0 18 12 52,100 0 29 12 50,693 0 14 12 47,878 0 10 12 46,555 0 6 14 47,878 0 7 16 47,878 0 9 12 54,913 0 16 13 50,123 0 4 13 50,693 0 20 12 48,933 0 29 12 58,270 0 12 12 50,538 0 5 13 48,933 0 12 12 45,078 0 5 12 47,878 0 5 14 53,508 0 24 12 42,250 0 1 16 53,508 1 8 15 42,250 1 3 15 47,808 1 1 13 50,180 1 11 13 44,163 1 9 10 41,718 1 3 10 47,878 1 8 12 37,635 1 1 16 49,285 1 7 12 50,693 1 14 12 43,655 0 3 12 43,910 1 9 13 43,910 1 11 12 68,303 0 19 14 85,128 0 3 12 53,488 0 3 12 66,430 0 22 12 59,708 0 10 12 71,555 0 15 12 53,565 0 14 16 73,490 0 15 12 69,045 0 13 16 63,025 0 13 12 56,715 0 12 13 66,728 0 16 12 59,348 0 29 12 68,068 0 14 14 69,540 0 20 12 47,268 0 2 12 70,253 0 19 12 64,390 0 13 12 67,235 0 11 13 74,155 0 29 13 64,180 0 23 12 65,568 0 14 12 50,415 0 12 13 65,113 0 7 12 61,463 0 1 12 59,865 0 22 12 54,158 0 9 12 64,365 0 16 12 72,205 0 22 12 64,400 0 14 12 76,948 0 29 12 61,440 0 21 12 53,488 0 2 13 71,030 0 15 12 76,490 0 18 12 56,215 0 2 13 59,708 0 10 12 74,155 0 32 12 70,195 0 10 15 57,918 0 3 12 77,815 0 16 12 60,498 0 4 12 80,125 0 20 12 74,975 0 26 12 72,338 0 15 12 63,910 0 19 13 56,818 0 7 12 62,450 0 4 13 68,303 0 23 12 77,815 0 26 12 56,715 0 13 12 56,618 0 3 12 61,463 0 5 16 55,140 0 15 12 68,610 0 19 12 63,218 0 9 12 83,040 0 35 12 63,635 0 17 12 59,708 0 7 12 52,335 0 5 12 53,265 0 7 12 69,058 0 5 13 67,460 0 32 12 56,650 0 16 16 61,440 0 28 12 58,290 0 24 12 72,205 0 18 13 64,825 0 9 13 59,563 0 14 16 69,513 0 7 12 78,003 0 20 12 61,463 0 9 12 52,335 0 7 14 59,865 0 19 13 58,290 0 19 12 64,400 0 8 12 59,598 0 12 12 53,565 0 7 12 68,303 0 11 12 75,415 0 16 12 62,390 0 10 12 51,990 0 7 13 56,715 0 12 16 64,973 0 24 13 72,205 0 31 12 61,463 0 13 12 82,140 0 23 12 61,463 0 15 14 51,125 0 8 12 64,400 0 6 16 64,400 0 6 14 60,498 0 2 14 68,303 0 15 12 56,118 0 9 12 53,998 0 11 12 66,353 0 13 14 70,253 0 22 13 61,440 0 18 12 65,423 0 6 14 61,463 0 17 12 70,253 0 20 12 58,548 0 4 16 64,728 0 22 12 53,565 0 10 12 69,035 0 26 14 58,290 0 17 12 51,990 0 8 12 53,565 0 9 14 51,125 0 5 12 63,218 0 16 14 67,003 0 8 12 60,153 0 14 12 71,328 0 8 12 55,140 0 14 10 72,205 0 26 13 55,140 0 15 12 51,990 0 9 12 57,953 0 7 12 59,853 0 6 13 57,953 0 5 13 64,973 0 28 12 50,415 0 3 12 82,140 0 18 13 56,715 0 15 12 56,715 0 14 12 69,835 0 9 12 55,348 0 7 12 61,440 0 23 14 57,953 0 8 13 82,308 0 20 12 68,483 0 22 12 62,315 0 14 12 47,630 0 4 12 71,030 0 14 12 73,870 1 21 14 62,653 1 12 12 51,990 1 9 13 62,858 1 13 12 56,118 1 10 12 56,198 1 7 13 88,318 1 23 13 51,990 1 6 12 71,933 1 7 12 65,113 1 7 16 83,288 1 9 12 73,600 1 24 12 58,290 1 1 12 67,085 1 3 16 65,708 1 3 16 74,155 1 18 12 69,058 1 11 12 71,328 1 18 12 48,933 1 9 12 61,440 1 34 10 60,368 1 9 12 58,385 1 9 12 65,213 1 6 12 70,383 1 21 15 58,548 1 5 16 70,820 1 5 12 57,953 1 9 12 82,140 1 10 12 62,780 1 26 13 72,205 1 5 13 75,653 1 6 16 64,973 1 22 14 82,140 1 34 12 47,268 1 1 13 72,205 1 27 15 48,843 1 7 12 53,565 1 9 13 55,140 1 13 13 77,580 1 4 12 61,065 1 19 12 51,990 1 3 14 56,198 1 5 15 79,255 1 10 12 61,440 1 13 12 88,325 1 19 18 51,168 1 9 12 55,140 1 10 13 51,990 1 10 14 71,328 1 11 14 71,328 1 10 13 66,353 1 12 14 51,990 1 5 12 77,155 1 9 16 84,303 1 3 16 45,850 1 7 13 52,688 1 3 12 48,843 1 3 12 53,565 1 8 12 84,303 1 20 16 56,818 1 5 12 64,180 0 6 13 58,290 0 16 12 61,440 0 38 10 50,415 0 6 13 61,463 0 18 15 51,990 0 10 13 47,268 1 2 15 58,548 1 3 12 68,148 0 7 14 64,840 0 11 14 75,718 0 22 12 57,953 0 5 14 56,198 0 8 12 56,543 0 4 12 57,035 0 5 12 69,513 0 16 12 82,140 0 8 16 47,268 0 1 16 55,015 1 1 14 55,140 1 19 12 58,548 1 7 12 74,155 1 27 16 82,140 1 3 14 63,218 1 15 12 71,018 1 5 12 79,978 1 28 14 78,155 0 3 16 86,655 0 2 18 97,523 0 9 14 86,655 0 5 16 112,660 0 3 16 112,005 0 8 16 90,783 0 6 16 107,320 0 12 18 89,545 0 10 16 79,383 0 6 16 98,213 0 16 13 121,165 0 19 12 83,553 0 21 14 103,990 0 25 14 112,430 0 19 12 88,135 0 22 12 119,683 0 12 16 126,935 0 20 18 85,068 0 5 12 103,990 0 17 16 123,363 0 26 12 128,548 0 13 14 86,888 0 22 12 105,008 0 5 16 77,238 0 9 12 115,505 0 11 16 133,003 0 22 16 112,005 0 4 18 115,505 0 11 12 136,503 0 28 12 90,535 0 2 16 82,063 0 23 12 119,005 0 13 12 115,505 0 9 16 72,410 0 1 18 112,658 0 22 14 115,505 0 6 16 93,455 0 15 12 78,780 0 10 16 74,005 0 3 16 96,378 0 34 14 119,683 0 9 18 119,683 0 22 12 96,378 0 18 12 92,433 0 17 12 115,505 0 22 16 98,393 0 20 13 103,990 0 18 13 74,005 0 20 12 125,558 0 16 16 121,165 0 39 12 103,990 0 17 18 122,070 0 19 14 108,505 0 4 18 98,213 0 26 12 114,243 0 12 16 103,990 0 17 15 95,323 0 27 16 118,043 0 3 16 104,998 0 17 12 114,243 0 20 12 87,613 0 5 16 110,780 0 29 14 121,165 0 10 18 76,393 0 3 12 114,243 0 21 12 83,363 0 3 16 90,058 0 25 12 87,613 0 3 12 108,505 0 7 16 76,418 0 6 12 99,878 0 5 16 109,280 0 27 13 85,938 0 10 16 129,503 0 16 18 88,325 0 29 14 107,320 0 15 12 117,703 0 12 13 103,990 0 28 13 86,655 0 21 16 71,620 0 2 16 115,163 0 21 14 101,915 0 15 14 114,243 0 14 18 112,083 0 5 14 99,863 0 23 13 108,060 0 24 16 95,323 0 15 12 95,323 0 16 16 100,873 0 4 14 106,478 0 5 16 72,035 0 15 18 101,100 0 28 16 86,655 0 3 16 85,938 0 20 14 83,553 0 21 14 83,553 0 23 12 128,548 0 17 13 74,103 0 7 12 98,213 0 29 12 119,005 0 6 15 108,943 0 4 16 118,023 0 35 14 85,938 0 15 16 83,755 0 8 18 135,010 0 15 14 119,858 0 14 16 122,480 0 21 12 83,553 0 24 12 85,938 0 19 12 124,625 0 10 18 95,323 0 11 16 77,238 0 8 12 117,703 0 21 12 120,890 0 9 16 92,433 0 20 12 102,530 0 28 14 89,388 0 20 12 98,070 0 27 13 102,198 0 10 16 122,868 0 28 14 105,453 0 18 14 88,325 0 26 12 112,658 0 16 18 95,553 0 7 16 138,125 1 23 16 128,088 1 38 16 124,625 1 16 18 115,258 1 19 16 94,568 1 5 14 117,533 1 9 16 122,505 1 18 16 112,658 1 31 18 76,393 1 10 18 97,533 1 19 15 103,858 1 4 16 117,703 1 7 16 96,835 1 4 16 131,548 1 18 16 120,760 1 6 15 90,308 1 2 16 129,503 1 28 16

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A researcher wanted to know what factors determine a state public employee’s annual salary; especially, whether there was a gender pay gap in the state government. (coded 0 if male; coded 1 if female).

Salary Gender Years Of Service Years Of Education
52,100 0 5 13
55,015 0 20 13
55,520 0 23 12
43,430 0 7 12
43,813 0 5 12
51,903 0 6 12
54,580 0 24 14
54,913 0 18 12
52,100 0 29 12
50,693 0 14 12
47,878 0 10 12
46,555 0 6 14
47,878 0 7 16
47,878 0 9 12
54,913 0 16 13
50,123 0 4 13
50,693 0 20 12
48,933 0 29 12
58,270 0 12 12
50,538 0 5 13
48,933 0 12 12
45,078 0 5 12
47,878 0 5 14
53,508 0 24 12
42,250 0 1 16
53,508 1 8 15
42,250 1 3 15
47,808 1 1 13
50,180 1 11 13
44,163 1 9 10
41,718 1 3 10
47,878 1 8 12
37,635 1 1 16
49,285 1 7 12
50,693 1 14 12
43,655 0 3 12
43,910 1 9 13
43,910 1 11 12
68,303 0 19 14
85,128 0 3 12
53,488 0 3 12
66,430 0 22 12
59,708 0 10 12
71,555 0 15 12
53,565 0 14 16
73,490 0 15 12
69,045 0 13 16
63,025 0 13 12
56,715 0 12 13
66,728 0 16 12
59,348 0 29 12
68,068 0 14 14
69,540 0 20 12
47,268 0 2 12
70,253 0 19 12
64,390 0 13 12
67,235 0 11 13
74,155 0 29 13
64,180 0 23 12
65,568 0 14 12
50,415 0 12 13
65,113 0 7 12
61,463 0 1 12
59,865 0 22 12
54,158 0 9 12
64,365 0 16 12
72,205 0 22 12
64,400 0 14 12
76,948 0 29 12
61,440 0 21 12
53,488 0 2 13
71,030 0 15 12
76,490 0 18 12
56,215 0 2 13
59,708 0 10 12
74,155 0 32 12
70,195 0 10 15
57,918 0 3 12
77,815 0 16 12
60,498 0 4 12
80,125 0 20 12
74,975 0 26 12
72,338 0 15 12
63,910 0 19 13
56,818 0 7 12
62,450 0 4 13
68,303 0 23 12
77,815 0 26 12
56,715 0 13 12
56,618 0 3 12
61,463 0 5 16
55,140 0 15 12
68,610 0 19 12
63,218 0 9 12
83,040 0 35 12
63,635 0 17 12
59,708 0 7 12
52,335 0 5 12
53,265 0 7 12
69,058 0 5 13
67,460 0 32 12
56,650 0 16 16
61,440 0 28 12
58,290 0 24 12
72,205 0 18 13
64,825 0 9 13
59,563 0 14 16
69,513 0 7 12
78,003 0 20 12
61,463 0 9 12
52,335 0 7 14
59,865 0 19 13
58,290 0 19 12
64,400 0 8 12
59,598 0 12 12
53,565 0 7 12
68,303 0 11 12
75,415 0 16 12
62,390 0 10 12
51,990 0 7 13
56,715 0 12 16
64,973 0 24 13
72,205 0 31 12
61,463 0 13 12
82,140 0 23 12
61,463 0 15 14
51,125 0 8 12
64,400 0 6 16
64,400 0 6 14
60,498 0 2 14
68,303 0 15 12
56,118 0 9 12
53,998 0 11 12
66,353 0 13 14
70,253 0 22 13
61,440 0 18 12
65,423 0 6 14
61,463 0 17 12
70,253 0 20 12
58,548 0 4 16
64,728 0 22 12
53,565 0 10 12
69,035 0 26 14
58,290 0 17 12
51,990 0 8 12
53,565 0 9 14
51,125 0 5 12
63,218 0 16 14
67,003 0 8 12
60,153 0 14 12
71,328 0 8 12
55,140 0 14 10
72,205 0 26 13
55,140 0 15 12
51,990 0 9 12
57,953 0 7 12
59,853 0 6 13
57,953 0 5 13
64,973 0 28 12
50,415 0 3 12
82,140 0 18 13
56,715 0 15 12
56,715 0 14 12
69,835 0 9 12
55,348 0 7 12
61,440 0 23 14
57,953 0 8 13
82,308 0 20 12
68,483 0 22 12
62,315 0 14 12
47,630 0 4 12
71,030 0 14 12
73,870 1 21 14
62,653 1 12 12
51,990 1 9 13
62,858 1 13 12
56,118 1 10 12
56,198 1 7 13
88,318 1 23 13
51,990 1 6 12
71,933 1 7 12
65,113 1 7 16
83,288 1 9 12
73,600 1 24 12
58,290 1 1 12
67,085 1 3 16
65,708 1 3 16
74,155 1 18 12
69,058 1 11 12
71,328 1 18 12
48,933 1 9 12
61,440 1 34 10
60,368 1 9 12
58,385 1 9 12
65,213 1 6 12
70,383 1 21 15
58,548 1 5 16
70,820 1 5 12
57,953 1 9 12
82,140 1 10 12
62,780 1 26 13
72,205 1 5 13
75,653 1 6 16
64,973 1 22 14
82,140 1 34 12
47,268 1 1 13
72,205 1 27 15
48,843 1 7 12
53,565 1 9 13
55,140 1 13 13
77,580 1 4 12
61,065 1 19 12
51,990 1 3 14
56,198 1 5 15
79,255 1 10 12
61,440 1 13 12
88,325 1 19 18
51,168 1 9 12
55,140 1 10 13
51,990 1 10 14
71,328 1 11 14
71,328 1 10 13
66,353 1 12 14
51,990 1 5 12
77,155 1 9 16
84,303 1 3 16
45,850 1 7 13
52,688 1 3 12
48,843 1 3 12
53,565 1 8 12
84,303 1 20 16
56,818 1 5 12
64,180 0 6 13
58,290 0 16 12
61,440 0 38 10
50,415 0 6 13
61,463 0 18 15
51,990 0 10 13
47,268 1 2 15
58,548 1 3 12
68,148 0 7 14
64,840 0 11 14
75,718 0 22 12
57,953 0 5 14
56,198 0 8 12
56,543 0 4 12
57,035 0 5 12
69,513 0 16 12
82,140 0 8 16
47,268 0 1 16
55,015 1 1 14
55,140 1 19 12
58,548 1 7 12
74,155 1 27 16
82,140 1 3 14
63,218 1 15 12
71,018 1 5 12
79,978 1 28 14
78,155 0 3 16
86,655 0 2 18
97,523 0 9 14
86,655 0 5 16
112,660 0 3 16
112,005 0 8 16
90,783 0 6 16
107,320 0 12 18
89,545 0 10 16
79,383 0 6 16
98,213 0 16 13
121,165 0 19 12
83,553 0 21 14
103,990 0 25 14
112,430 0 19 12
88,135 0 22 12
119,683 0 12 16
126,935 0 20 18
85,068 0 5 12
103,990 0 17 16
123,363 0 26 12
128,548 0 13 14
86,888 0 22 12
105,008 0 5 16
77,238 0 9 12
115,505 0 11 16
133,003 0 22 16
112,005 0 4 18
115,505 0 11 12
136,503 0 28 12
90,535 0 2 16
82,063 0 23 12
119,005 0 13 12
115,505 0 9 16
72,410 0 1 18
112,658 0 22 14
115,505 0 6 16
93,455 0 15 12
78,780 0 10 16
74,005 0 3 16
96,378 0 34 14
119,683 0 9 18
119,683 0 22 12
96,378 0 18 12
92,433 0 17 12
115,505 0 22 16
98,393 0 20 13
103,990 0 18 13
74,005 0 20 12
125,558 0 16 16
121,165 0 39 12
103,990 0 17 18
122,070 0 19 14
108,505 0 4 18
98,213 0 26 12
114,243 0 12 16
103,990 0 17 15
95,323 0 27 16
118,043 0 3 16
104,998 0 17 12
114,243 0 20 12
87,613 0 5 16
110,780 0 29 14
121,165 0 10 18
76,393 0 3 12
114,243 0 21 12
83,363 0 3 16
90,058 0 25 12
87,613 0 3 12
108,505 0 7 16
76,418 0 6 12
99,878 0 5 16
109,280 0 27 13
85,938 0 10 16
129,503 0 16 18
88,325 0 29 14
107,320 0 15 12
117,703 0 12 13
103,990 0 28 13
86,655 0 21 16
71,620 0 2 16
115,163 0 21 14
101,915 0 15 14
114,243 0 14 18
112,083 0 5 14
99,863 0 23 13
108,060 0 24 16
95,323 0 15 12
95,323 0 16 16
100,873 0 4 14
106,478 0 5 16
72,035 0 15 18
101,100 0 28 16
86,655 0 3 16
85,938 0 20 14
83,553 0 21 14
83,553 0 23 12
128,548 0 17 13
74,103 0 7 12
98,213 0 29 12
119,005 0 6 15
108,943 0 4 16
118,023 0 35 14
85,938 0 15 16
83,755 0 8 18
135,010 0 15 14
119,858 0 14 16
122,480 0 21 12
83,553 0 24 12
85,938 0 19 12
124,625 0 10 18
95,323 0 11 16
77,238 0 8 12
117,703 0 21 12
120,890 0 9 16
92,433 0 20 12
102,530 0 28 14
89,388 0 20 12
98,070 0 27 13
102,198 0 10 16
122,868 0 28 14
105,453 0 18 14
88,325 0 26 12
112,658 0 16 18
95,553 0 7 16
138,125 1 23 16
128,088 1 38 16
124,625 1 16 18
115,258 1 19 16
94,568 1 5 14
117,533 1 9 16
122,505 1 18 16
112,658 1 31 18
76,393 1 10 18
97,533 1 19 15
103,858 1 4 16
117,703 1 7 16
96,835 1 4 16
131,548 1 18 16
120,760 1 6 15
90,308 1 2 16
129,503 1 28 16

1) What is the sample size? 

2) What is the shape of the sampling distribution of the sample mean salary?

3) What is the level of measurement of the variable Gender? 

4) What are the mean and standard deviation of the variable Salary? 

 

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