4. Use the Random Number Table E.1 from Page 544 of the textbook (Business Statistics: A first course - sixth edition) to simulate the selection of different-colored balls from an urn, as follows:

1. a. Start in the row corresponding to the day of the month in which you were born plus the last two digits of the year in which you were born. For example, if you were born on October 3, 1990, you would start in row 93 (3 + 90). If your total exceeds 100, subtract 100 from the total.
2. b. Select two-digit random numbers.
3. c. If you select a random number from 00 to 94, consider the ball to be white; if the random number is from 95 to 99, consider the ball to be red.
4. Each student is to select 100 two-digit random numbers and report the number of “red balls” in the sample. Construct a control chart for the proportion of red balls.
5. d. What conclusions can you draw about the system of selecting red balls?
6. e. Are all the students part of the system?
7. f. Is anyone outside the system? If so, what explanation can you give for someone who has too many red balls?
8. g. If a bonus were paid to the top 10% of the students (the 10% with the fewest red balls), what effect would that have on the rest of the students? Discuss.
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Column 00000 00001 11111 11112 22222 22223 33333 33334 Row 12345 67890 12345 67890 12345 67890 12345 67890 88924 41657 65923 93912 07275 97349 97653 20664 89863 20775 02348 45091 08078 49280 35779 07468 81163 98083 78496 01 00283 08612 86129 84598 02 61870 43898 62993 33850 97340 70543 03 04 25078 91550 12872 76783 11095 68239 66090 53362 92671 28661 30454 56095 64647 05 06 07 58555 51438 85507 79488 31708 71865 63919 55980 34101 22380 23298 55790 08401 03364 88472 04334 36394 92470 29776 20461 88872 44940 15925 13675 10087 10072 64688 08 89382 93809 95945 50785 00796 67140 14130 84731 40355 93247 78643 70654 81277 16703 56203 69229 26299 63397 32768 04233 83246 09 10 11 37818 60430 82975 72142 22834 96593 66158 19436 54324 32596 75912 92827 81718 82455 68514 30987 71938 24586 23997 49420 59208 13 55700 14756 32166 23236 45794 09893 54382 94750 44251 43189 57070 11865 14 83832 18928 15 16 53251 63491 06546 78305 47427 33825 69662 73751 26926 20505 74598 89923 34135 31888 04877 47182 78822 83554 36858 47651 17 15130 14225 55058 52551 18 56788 96297 46162 26940 44104 19 91499 14523 68479 27686 20 37089 53140 20048 80336 42050 94598 21 22 70297 33340 82341 82949 85157 47954 32979 26575 40881 73742 25815 57600 12250 23 11100 02340 50775 12860 74697 96644 89439 28707 24 36871 30592 57143 16090 17381 68856 25853 72407 35041 25 23913 48357 63308 51690 54607 22255 55538 26 79348 36085 27973 53673 75593 65157 07456 25626 57054 27 92074 54641 54421 18130 49502 83613 60103 69593 82578 58869 49464 28 29 30 06873 21440 37622 41373 17972 16364 12478 99659 31065 65411 80103 14621 69889 03426 13276 29571 83792 73000 47709 49325 57175 55564 42547 07831 70457 72937 31 91616 11075 59309 26710 32 78025 27587 73539 67228 39044 47450 03197 12787 33 80145 10175 12822 73709 82093 86687 65530 34 16690 20427 04251 64477 31833 73945 16747 78028 92396 68263 35 70183 90730 58065 65489 15679 59293 67257 58595 10386 36 35385 99742 50866 75573 00906 05085 94532 53693 37 10934 93242 13431 24590 02770 13389 93699 48582 82462 27463 02979 38 30166 79613 47416 80268 60912 96666 10433 52997 07606 09079 75233 16285 92709 52507 95632 49892 67327 39 40 90110 47506 41 46888 69929 32097 37594 10067 08289 12639 08141 53638 82433 35766 10853 20341 54458 26337 34314 28603 66194 78240 42 83161 12640 28437 09268 12847 15890 16602 48438 19177 43 61427 17239 89160 19666 08814 37841 84393 52351 74692 83281 44 31672 50082 22795 66948 65581 42581 08792 13257 61973 17276 52901 45 24450 63955 27398 90542 46 72906 10646 51839 35179 05575 34189 77563 16687 85264 68933 99547 24837 67299 61270 05755 62423 32483 53355 00123 23820 15181 67953 22070 55624 47 79896 66530 23729 10708 28926 48 46560 44546 79821 58599 57846 61881 17436 01748 51417 52818 91536 49 96855 11091 92166 66628 12108 52622 32991 15145 40282 73561 99 Screenshot 50 16625 45515 51 52 53 32511 68215 58036 03834 27618 09083 70880 11274 64192 43782 43195 00833 88000 54 12111 86683 90611 47189 99951 90599 72486 84184 78922 56 57 76396 46409 17469 76175 Column 00000 00001 11111 11112 22222 22223 33333 33334 Row 12345 67890 12345 67890 12345 67890 12345 67890 88924 41657 65923 93912 07275 97349 97653 20664 89863 20775 02348 45091 08078 49280 35779 07468 81163 98083 78496 01 00283 08612 86129 84598 02 61870 43898 62993 33850 97340 70543 03 04 25078 91550 12872 76783 11095 68239 66090 53362 92671 28661 30454 56095 64647 05 06 07 58555 51438 85507 79488 31708 71865 63919 55980 34101 22380 23298 55790 08401 03364 88472 04334 36394 92470 29776 20461 88872 44940 15925 13675 10087 10072 64688 08 89382 93809 95945 50785 00796 67140 14130 84731 40355 93247 78643 70654 81277 16703 56203 69229 26299 63397 32768 04233 83246 09 10 11 37818 60430 82975 72142 22834 96593 66158 19436 54324 32596 75912 92827 81718 82455 68514 30987 71938 24586 23997 49420 59208 13 55700 14756 32166 23236 45794 09893 54382 94750 44251 43189 57070 11865 14 83832 18928 15 16 53251 63491 06546 78305 47427 33825 69662 73751 26926 20505 74598 89923 34135 31888 04877 47182 78822 83554 36858 47651 17 15130 14225 55058 52551 18 56788 96297 46162 26940 44104 19 91499 14523 68479 27686 20 37089 53140 20048 80336 42050 94598 21 22 70297 33340 82341 82949 85157 47954 32979 26575 40881 73742 25815 57600 12250 23 11100 02340 50775 12860 74697 96644 89439 28707 24 36871 30592 57143 16090 17381 68856 25853 72407 35041 25 23913 48357 63308 51690 54607 22255 55538 26 79348 36085 27973 53673 75593 65157 07456 25626 57054 27 92074 54641 54421 18130 49502 83613 60103 69593 82578 58869 49464 28 29 30 06873 21440 37622 41373 17972 16364 12478 99659 31065 65411 80103 14621 69889 03426 13276 29571 83792 73000 47709 49325 57175 55564 42547 07831 70457 72937 31 91616 11075 59309 26710 32 78025 27587 73539 67228 39044 47450 03197 12787 33 80145 10175 12822 73709 82093 86687 65530 34 16690 20427 04251 64477 31833 73945 16747 78028 92396 68263 35 70183 90730 58065 65489 15679 59293 67257 58595 10386 36 35385 99742 50866 75573 00906 05085 94532 53693 37 10934 93242 13431 24590 02770 13389 93699 48582 82462 27463 02979 38 30166 79613 47416 80268 60912 96666 10433 52997 07606 09079 75233 16285 92709 52507 95632 49892 67327 39 40 90110 47506 41 46888 69929 32097 37594 10067 08289 12639 08141 53638 82433 35766 10853 20341 54458 26337 34314 28603 66194 78240 42 83161 12640 28437 09268 12847 15890 16602 48438 19177 43 61427 17239 89160 19666 08814 37841 84393 52351 74692 83281 44 31672 50082 22795 66948 65581 42581 08792 13257 61973 17276 52901 45 24450 63955 27398 90542 46 72906 10646 51839 35179 05575 34189 77563 16687 85264 68933 99547 24837 67299 61270 05755 62423 32483 53355 00123 23820 15181 67953 22070 55624 47 79896 66530 23729 10708 28926 48 46560 44546 79821 58599 57846 61881 17436 01748 51417 52818 91536 49 96855 11091 92166 66628 12108 52622 32991 15145 40282 73561 99 Screenshot 50 16625 45515 51 52 53 32511 68215 58036 03834 27618 09083 70880 11274 64192 43782 43195 00833 88000 54 12111 86683 90611 47189 99951 90599 72486 84184 78922 56 57 76396 46409 17469 76175

Answer rating: 100% (QA)

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