USE THE TABLE 7.1, RANDOM NUMBERS, FROM YOUR TEXTBOOK (P. 308) Assume a finite population has 400 elements. Using the first three digits of column four (starting with 511, 791, 099, ...), determine the first eight elements that will be selected for the simple random sample.

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Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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USE THE TABLE 7.1, RANDOM NUMBERS, FROM YOUR TEXTBOOK (P. 308)

Assume a finite population has 400 elements. Using the first three digits of column four (starting with 511, 791, 099, ...), determine the first eight elements that will be selected for the simple random sample.

 

Confinuous Probabilitv Distributions
Chapter 7 Sampling and Sampling Distributions
TABLE 7.1 RANDOM NUMBERS
63271
59986
71744
95436
51102
15141
79945
80714
01041
66535
58683
20030
93108
13554
88547
09896
79115
28364
15702
08303
63754
08459
55957
57243
83865
09911
19761
40102
26646
60147
46276
87453
44790
67122
45573
84358
21625
22782
16999
21861
13385
68689
55363
07449
34835
15290
76616
67191
12777
03263
69393
92785
49902
58447
42048
30378
87618
26933
40640
16281
13186
29431
88190
04588
38733
81290
89541
70290
40113
08243
17726
28652
56836
78351
47327
18518
92222
55201
27340
10493
36520
64465
05550
30157
82242
29520
72602
89641
69753
23756
54935
81628
36100
39254
56835
37636
02421
98063
64953
99337
84649
48968
75215
75498
49539
74240
03466
49292
36401
45525
63291
11618
12613
75055
64531
91322
43915
26488
41116
56827
30825
70502
53225
03655
05915
37140
57051
48393
25653
06543
06426
24771
59935
49801
11082
66762
94477
02494
88215
27191
20711
55609
29430
70165
45406
78484
31639
52009
18873
96927
41990
70538
77191
25860
55204
73417
83920
69468
74972
38712
72452
36618
76298
26678
89334
95567
41335
75906
29002
33938
29380
91807
37042
40318
57099
10528
09925
89773
96244
46453
53766
52875
15987
46962
67342
77592
57651
95508
80033
69828
90585
58955
53122
16025
84299
53310
67380
84249
25348
04332
32001
96293
37203
37069
20135
64516
51530
40261
61374
05815
06714
62606
64324
46354
72157
67248
49804
09226
64419
29457
10078
28073
85389
50324
14500
15562
64165
06125
71353
77669
91561
46145
24177
15294
10061
98124
75732
00815
83452
97355
13091
98112
53959
79607
52244
63303
10413
63839
74762
50289
To select a simple random sample from the finite population of EAI managers, we first
construct a frame by assigning each manager a number. For example, we can assign the
managers the numbers 1 to 2500 in the order that their names appear in the EAI personnel
file. Next, we refer to the table of random numbers shown in Table 7.1. Using the first row
of the table, each digit, 6, 3, 2, . .., is a random digit having an equal chance of occurring.
Because the largest number in the population list of EAI managers, 2500, has four digits, we
will select random numbers from the table in sets or groups of four digits. Even though we
may start the selection of random numbers anywhere in the table and move systematically in
a direction of our choice, we will use the first row of Table 7.1 and move from left to right.
The first 7 four-digit random numbers are
nbers in the
in groups
bility.
6327
1599
8671
7445
1102
1514
1807
Because the numbers in the table are random, these four-digit numbers are equally likely.
We can now use these four-digit random numbers to give each manager in the popula-
Transcribed Image Text:Confinuous Probabilitv Distributions Chapter 7 Sampling and Sampling Distributions TABLE 7.1 RANDOM NUMBERS 63271 59986 71744 95436 51102 15141 79945 80714 01041 66535 58683 20030 93108 13554 88547 09896 79115 28364 15702 08303 63754 08459 55957 57243 83865 09911 19761 40102 26646 60147 46276 87453 44790 67122 45573 84358 21625 22782 16999 21861 13385 68689 55363 07449 34835 15290 76616 67191 12777 03263 69393 92785 49902 58447 42048 30378 87618 26933 40640 16281 13186 29431 88190 04588 38733 81290 89541 70290 40113 08243 17726 28652 56836 78351 47327 18518 92222 55201 27340 10493 36520 64465 05550 30157 82242 29520 72602 89641 69753 23756 54935 81628 36100 39254 56835 37636 02421 98063 64953 99337 84649 48968 75215 75498 49539 74240 03466 49292 36401 45525 63291 11618 12613 75055 64531 91322 43915 26488 41116 56827 30825 70502 53225 03655 05915 37140 57051 48393 25653 06543 06426 24771 59935 49801 11082 66762 94477 02494 88215 27191 20711 55609 29430 70165 45406 78484 31639 52009 18873 96927 41990 70538 77191 25860 55204 73417 83920 69468 74972 38712 72452 36618 76298 26678 89334 95567 41335 75906 29002 33938 29380 91807 37042 40318 57099 10528 09925 89773 96244 46453 53766 52875 15987 46962 67342 77592 57651 95508 80033 69828 90585 58955 53122 16025 84299 53310 67380 84249 25348 04332 32001 96293 37203 37069 20135 64516 51530 40261 61374 05815 06714 62606 64324 46354 72157 67248 49804 09226 64419 29457 10078 28073 85389 50324 14500 15562 64165 06125 71353 77669 91561 46145 24177 15294 10061 98124 75732 00815 83452 97355 13091 98112 53959 79607 52244 63303 10413 63839 74762 50289 To select a simple random sample from the finite population of EAI managers, we first construct a frame by assigning each manager a number. For example, we can assign the managers the numbers 1 to 2500 in the order that their names appear in the EAI personnel file. Next, we refer to the table of random numbers shown in Table 7.1. Using the first row of the table, each digit, 6, 3, 2, . .., is a random digit having an equal chance of occurring. Because the largest number in the population list of EAI managers, 2500, has four digits, we will select random numbers from the table in sets or groups of four digits. Even though we may start the selection of random numbers anywhere in the table and move systematically in a direction of our choice, we will use the first row of Table 7.1 and move from left to right. The first 7 four-digit random numbers are nbers in the in groups bility. 6327 1599 8671 7445 1102 1514 1807 Because the numbers in the table are random, these four-digit numbers are equally likely. We can now use these four-digit random numbers to give each manager in the popula-
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