We often see players on the sidelines of a football game inhaling oxygen. Their

Question

We often see players on the sidelines of a football game inhaling oxygen. Their coaches think this will speed their recovery. We might measure recovery from intense exercise as follows: Have a football player run 100 yards three times in quick succession. Then allow three minutes to rest before running 100 yards again.
Time the final run. Because players vary greatly in speed, you plan a matched pairs experiment using 30 football players as subjects. Describe the design of such an experiment to investigate the effect of inhaling oxygen during the rest period. Why should each player's two trials be on different days?

TABLE B Random Digits

Line 101 19223 95034 05756 28713 96409 12531 42544 82853

102 73676 47150 99400 01927 27754 42648 82425 36290

103 45467 71709 77558 00095 32863 29485 82226 90056

104 52711 38889 93074 60227 40011 85848 48767 52573

105 95592 94007 69971 91481 60779 53791 17297 59335

106 68417 35013 15529 72765 85089 57067 50211 47487

107 82739 57890 20807 47511 81676 55300 94383 14893

108 60940 72024 17868 24943 61790 90656 87964 18883

109 36009 19365 15412 39638 85453 46816 83485 41979

110 38448 48789 18338 24697 39364 42006 76688 08708

111 81486 69487 60513 09297 00412 71238 27649 39950

112 59636 88804 04634 71197 19352 73089 84898 45785

113 62568 70206 40325 03699 71080 22553 11486 11776

114 45149 32992 75730 66280 03819 56202 02938 70915

115 61041 77684 94322 24709 73698 14526 31893 32592

116 14459 26056 31424 80371 65103 62253 50490 61181

117 38167 98532 62183 70632 23417 26185 41448 75532

118 73190 32533 04470 29669 84407 90785 65956 86382

119 95857 07118 87664 92099 58806 66979 98624 84826

120 35476 55972 39421 65850 04266 35435 43742 11937

121 71487 09984 29077 14863 61683 47052 62224 51025

122 13873 81598 95052 90908 73592 75186 87136 95761

123 54580 81507 27102 56027 55892 33063 41842 81868

124 71035 09001 43367 49497 72719 96758 27611 91596

125 96746 12149 37823 71868 18442 35119 62103 39244

126 96927 19931 36809 74192 77567 88741 48409 41903

127 43909 99477 25330 64359 40085 16925 85117 36071

128 15689 14227 06565 14374 13352 49367 81982 87209

129 36759 58984 68288 22913 18638 54303 00795 08727

130 69051 64817 87174 09517 84534 06489 87201 97245

131 05007 16632 81194 14873 04197 85576 45195 96565

132 68732 55259 84292 08796 43165 93739 31685 97150

133 45740 41807 65561 33302 07051 93623 18132 09547

134 27816 78416 18329 21337 35213 37741 04312 68508

135 66925 55658 39100 78458 11206 19876 87151 31260

136 08421 44753 77377 28744 75592 08563 79140 92454

137 53645 66812 61421 47836 12609 15373 98481 14592

138 66831 68908 40772 21558 47781 33586 79177 06928

139 55588 99404 70708 41098 43563 56934 48394 51719

140 12975 13258 13048 45144 72321 81940 00360 02428

141 96767 35964 23822 96012 94591 65194 50842 53372

142 72829 50232 97892 63408 77919 44575 24870 04178

143 88565 42628 17797 49376 61762 16953 88604 12724

144 62964 88145 83083 69453 46109 59505 69680 00900

145 19687 12633 57857 95806 09931 02150 43163 58636

146 37609 59057 66967 83401 60705 02384 90597 93600

147 54973 86278 88737 74351 47500 84552 19909 67181

148 00694 05977 19664 65441 20903 62371 22725 53340

149 71546 05233 53946 68743 72460 27601 45403 88692

150 07511 88915 41267 16853 84569 79367 32337 03316

Use Table B at line 135 to decide which players will get oxygen on their first trial.

Give the numbers as two digits in the order they appear in the table.

Fill in the blank:

The players are:
1) _______
2) _______
3) _______
4) _______
5) _______
6) _______
7) _______
8) _______
9) _______
10) _______
11) _______
12) _______
13) _______
14) _______
15) _______

Please how me how to do this

Explanation / Answer

There are 30 players.

So, starting from left, take every two digit number and divide it by 30. the remainder will be the player number. If the remainder is zero, it'be 30th player. Reject the duplicates if a number comes more than once.

135 66925 55658 39100 78458 11206 19876 87151 31260

So,

1. 6th

2. 2nd

3. 25th

4. 26th

5. 28th

6. 9th

7. 10th

8. 7th

9. 24th

10. 11th

11. 20th

12. 1st

13. 8th

14. 16th

15. 27th

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