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Using table B of random digits starting at line 121 select a SRS of size 15 from the sections of data labeled “unit”. What would the SRS of 15 from table B be?
| 693 5 437252 20 27 86 8 2082 5-60459|290856238 02500512880 so 254 6350000 55620508 0 54886 20550 400 6 233-1231 1112 65,612 66145463308270 4 4876261387 677666677676776666 76776666676666776666766 72 975|894106|900 23221222|114-322222232|2222-12 08878 a 105158518 621058130982 9 310 #-9999999999000000000011111 345678901234567890 1234567890 12345678901234 11111222222222233333 | 225|46|27|3922-34052252|684|27375667893534564273 7 005485540050000026000884950255620505000450000 14223312-5133 22-313 21-12 223-23-311 33|1 2-1 322 001804929701271028|19400108|-7398000562292-99117 567890-234567890|2345678901234567890123456789 4444455|55555555666666666677777777778888 IT 74204372 00020000-3 o o o 2 6 0 0 5 6 3 2 4 5 0 6 0 0 7 0 5 3 9 0 0 0 0 0 5 5 0 0 5 0002 1-3-312 3222-2 12-21 12 23. 32| 22-11-2312-3 706 612 372 6 7 8 30000826007165355 4 27 6594 230165 67777|666-67666677|66667666667667667577677666666 1222322222| 1 2 2 1 2 3 1 1 2 1 3 1 2 2 2 2 4 1 2 1 2 2 2 2 2 2 1 1 1 2 2 2 3 2 012345678901 23456789 012345678901234567 3 660811323208008909 90 160198 80291 100999 2105 890 1234
math   Statistics-And-Probability   
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Answer #1

The table is as shown -

チ07 245974 1191 1598934 2 1 2 87974 1 468426488 8431 389157396931633 7179 359 5473 322927528 862 5110225 。675717 403171447 6 8 7 9 8 9 5 4 3 7 3 96 2 3 5 4 3 5 8 4 278 13395 785 2 32724244 313 477 589 529243 1 729768328 8 8719177 4372 5088 154754 o87 80 3 4 7 09 89 5 5 7 2 4 6 5 2 4 3 8 7 +485079 7789 5 2 2 5 o123456789

--------------------

Now, we need each of the 135 observations to be equally likely. So, probability of each observation to be selected is-

P = \frac{1}{135} = 0.00741

Number of 4 digit numbers possible = 94 = 6561

So, we would make our selection for every 48.6 values. Or rather choose a random number of 5 digits and look for the intervals as shown -

Lower Limit Upper Limit ID#
0 486 0
487 972 1
973 1458 2
1459 1944 3
1945 2430 4
2431 2916 5
2917 3402 6
3403 3888 7
3889 4374 8
4375 4860 9
4861 5346 10
5347 5832 11
5833 6318 12
6319 6804 13
6805 7290 14
7291 7776 15
7777 8262 16
8263 8748 17
8749 9234 18
9235 9720 19
9721 10206 20
10207 10692 21
10693 11178 22
11179 11664 23
11665 12150 24
12151 12636 25
12637 13122 26
13123 13608 27
13609 14094 28
14095 14580 29
14581 15066 30
15067 15552 31
15553 16038 32
16039 16524 33
16525 17010 34
17011 17496 35
17497 17982 36
17983 18468 37
18469 18954 38
18955 19440 39
19441 19926 40
19927 20412 41
20413 20898 42
20899 21384 43
21385 21870 44
21871 22356 45
22357 22842 46
22843 23328 47
23329 23814 48
23815 24300 49
24301 24786 50
24787 25272 51
25273 25758 52
25759 26244 53
26245 26730 54
26731 27216 55
27217 27702 56
27703 28188 57
28189 28674 58
28675 29160 59
29161 29646 60
29647 30132 61
30133 30618 62
30619 31104 63
31105 31590 64
31591 32076 65
32077 32562 66
32563 33048 67
33049 33534 68
33535 34020 69
34021 34506 70
34507 34992 71
34993 35478 72
35479 35964 73
35965 36450 74
36451 36936 75
36937 37422 76
37423 37908 77
37909 38394 78
38395 38880 79
38881 39366 80
39367 39852 81
39853 40338 82
40339 40824 83
40825 41310 84
41311 41796 85
41797 42282 86
42283 42768 87
42769 43254 88
43255 43740 89
43741 44226 90
44227 44712 91
44713 45198 92
45199 45684 93
45685 46170 94
46171 46656 95
46657 47142 96
47143 47628 97
47629 48114 98
48115 48600 99
48601 49086 100
49087 49572 101
49573 50058 102
50059 50544 103
50545 51030 104
51031 51516 105
51517 52002 106
52003 52488 107
52489 52974 108
52975 53460 109
53461 53946 110
53947 54432 111
54433 54918 112
54919 55404 113
55405 55890 114
55891 56376 115
56377 56862 116
56863 57348 117
57349 57834 118
57835 58320 119
58321 58806 120
58807 59292 121
59293 59778 122
59779 60264 123
60265 60750 124
60751 61236 125
61237 61722 126
61723 62208 127
62209 62694 128
62695 63180 129
63181 63666 130
63667 64152 131
64153 64638 132
64639 65124 133
65125 65610 134

And ignore any higher values.

The first few values and corresponding ID# are -

Random Number ID#
71487 Higher
9984 20
29077 59
14863 30
61683 126
47052 96
62224 128
51025 104
13873 28
81598 Higher
95052 Higher
90908 Higher
73592 Higher
75186 Higher
87136 Higher
95761 Higher
54580 112
81507 Higher
27102 55
56027 115
55892 115
33063 68
41842 86
81868 Higher
71035 Higher
9001 18
43367 89
49497 101

As we need distinct values, so we would have following 15 ID's-

ID# - 20, 59, 30, 126, 96, 128, 104, 28, 112, 55, 115, 68, 86, 18, 89.

And the corresponding random sample of data labeled 'UNT' are -

UNT - 16, 13, 17, 10, 12, 19, 12, 17, 14, 13, 12, 18, 14, 12 and 13.

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