Use the Random Number Table E.1 from Page 544 of the textbook to simulate the selection of different-colored balls from an urn, as follows:

i. 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 October 3, 1990,you would start in row 93 (3 + 90). If your total exceeds 100, subtract 100 from the total.

ii. Select two-digit random numbers.

iii. 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. 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.

a. What conclusions can you draw about the system of selecting red balls?

b. Are all the students part of the system?

c. Is anyone outside the system? If so, what explanation can you give for someone who has too many red balls?

d. 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.

  

APPENDIX E Tables TABLE E.1 Table of Random Numbers Row 01 02 544 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 anche 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 00000 12345 49280 88924 61870 41657 43898 65923 62993 93912 33850 97340 70543 89382 37818 60430 82975 30987 55700 14756 32166 23236 45794 09893 54382 94750 70297 85157 11100 36871 23913 79348 92074 06873 12478 57175 91616 78025 27587 16690 70183 90730 10934 82462 27463 02979 46888 53638 82433 35766 10853 20341 54458 26337 34314 28603 66194 78240 00001 67890 00833 12111 47189 76396 46409 58555 03364 29776 93809 72142 22834 66158 71938 24586 23997 53251 73751 26926 50775 48357 36085 54641 21440 37622 55564 11075 73539 67228 20427 58065 35385 93242 30166 93247 78643 70654 31888 15130 20505 14225 74598 91499 89923 37089 34135 53140. 47954 32979 02340 12860 30592 63308 27973 53673 75593 99659 65411 80103 14621 80145 04251 65489 10433 52997 69929 83161 61427 31672 42581 27398 90542 66530 23729 10708 28926 43195 88000 86683 11111 12345 99951 72486 17469 35779 07468 25078 30454 51438 88472 10087 00796 67140 14130 84731 40355 15679 13431 79613 07606 09079 75233 08289 17239 50082 08792 72906 77563 16687 85264 68933 99547 24837 67299 61270 05755 62423 32483 Column 11112 67890 00283 08612 86129 84598 85507 04334 10072 95945 50785 96593 19436 54324 32596 75912 92827 81718 82455 68514 14523 20048 33340 26575 74697 57143 16090 65157 54421 41373 31065 42547 07831 39044 10175 64477 31833 99742 24590 47416 16285 92709 52507 12639 89160 22795 13257 63955 51839 35179 05575 34189 16625 32511 68215 58036 03834 27618 09083 22222 12345 07275 97349 78496 97653 56095 20664 71865 63919 55980 34101 81163 98083 22380 23298 55790 08401 11865 83832 63491 06546 78305 47427 68479 80336 42050 57600 96644 17381 51690 07456 18130 49502 83613 70457 59309 47450 12822 73709 82093 50866 02770 13389 93699 90110 32097 08141 19666 66948 61973 17276 52901 46560 96855 92166 45515 70880 11274 22223 67890 64192 43782 84184 76175 79488 36394 64688 81277 16703 56203 69229 26299 63397 32768 04233 83246 55058 56788 27686 94598 82341 40881 89439 68856 54607 22255 60103 17972 69889 03426 13276 03197 86687 73945 16747 78028 48582 80268 60912 47506 37594 12640 08814 65581 24450 10646 53355 00123 23820 15181 67953 22070 55624 90611 90599 78922 19985 33333 12345 89863 20775 91550 12872 76783 11095 68239 66090 53362 92671 28661 49420 44251 18928 33825 47651 52551 96297 46162 26940 44104 12250 28707 25853 72407 25626 69593 82578 58869 72937 26710 12787 65530 92396 10386 75573 00906 37841 84393 52351 74692 83281 44546 11091 66628 12108 52622 32991 33334 67890 15145 40282 73561 26309 02348 45091 08078 64647 67257 58595 05085 96666 94532 95632 53693 49892 10067 67327 28437 09268 12847 31708 92470 20461 88872 44940 15925 13675 59208 43189 57070 69662 04877 47182 78822 83554 36858 82949 73742 25815 35041 55538 57054 49464 16364 29571 83792 73000 47709 49325 68263 59293 15890 16602 48438 19177 79896 79821 58599 57846 61881 17436 01748 51417 52818 91536