Prenumbered sales invoices are kept in a sales journal. The invoices are numbered from 0001 to 5000.

a. Beginning in row 16, column 01, and proceeding horizontally in a table of random numbers (Table E.1), select a simple random sample of 50 invoice numbers.

b. Select a systematic sample of 50 invoice numbers. Use the random numbers in row 20, columns 05–07, as the starting point for your selection.

c. Are the invoices selected in (a) the same as those selected in (b)? Why or why not?

Table E.1

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Row 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 00000 12345 00001 67890 11111 11112 12345 67890 49280 88924 35779 61870 41657 07468 43898 65923 25078 62993 93912 30454 33850 58555 51438 97340 03364 88472 70543 29776 10087 89382 93809 00796 37818 72142 67140 60430 22834 14130 82975 66158 84731 30987 71938 40355 55700 24586 93247 14756 23997 78643 32166 53251 23236 73751 Column 70654 31888 22222 12345 22223 67890 08401 11865 83832 33333 12345 00283 81163 07275 89863 08612 98083 97349 20775 86129 78496 97653 91550 84598 56095 20664 12872 85507 71865 79488 76783 04334 63919 36394 11095 10072 55980 64688 68239 95945 34101 81277 66090 50785 22380 16703 53362 96593 23298 56203 92671 19436 55790 69229 28661 54324 26299 49420 32596 63397 44251 75912 32768 18928 92827 63491 04233 33825 81718 06546 83246 47651 33334 67890 02348 45091 08078 64647 31708 92470 20461 88872 44940 15925 13675 59208 43189 57070 69662 04877