Bluman A.G. Elementary Statistics- A Step By Step Approach

Appendix C Tables 795Table MCritical Values for the Number of RunsThis table gives the critical values at a 0.05 for a two-tailed test. Reject the null hypothesis if the number of runs is less thanor equal to the smaller value or greater than or equal to the larger value.Value of n 2Valueof n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 202345678910111213141516171819201 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 26 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 61 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 36 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 81 1 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 46 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 101 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 56 8 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 121 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 66 8 9 10 11 12 12 13 13 13 13 14 14 14 14 14 14 14 141 2 2 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 66 8 10 11 12 13 13 14 14 14 14 15 15 15 16 16 16 16 161 2 3 3 3 4 4 5 5 5 6 6 6 6 6 7 7 7 76 8 10 11 12 13 14 14 15 15 16 16 16 16 17 17 17 17 171 2 3 3 4 4 5 5 5 6 6 6 7 7 7 7 8 8 86 8 10 12 13 14 14 15 16 16 16 17 17 18 18 18 18 18 181 2 3 3 4 5 5 5 6 6 7 7 7 7 8 8 8 8 96 8 10 12 13 14 15 16 16 17 17 18 18 18 19 19 19 20 201 2 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9 9 96 8 10 12 13 14 15 16 17 17 18 19 19 19 20 20 20 21 212 2 3 4 4 5 6 6 7 7 7 8 8 8 9 9 9 10 106 8 10 12 13 14 16 16 17 18 19 19 20 20 21 21 21 22 222 2 3 4 5 5 6 6 7 7 8 8 9 9 9 10 10 10 106 8 10 12 14 15 16 17 18 19 19 20 20 21 21 22 22 23 232 2 3 4 5 5 6 7 7 8 8 9 9 9 10 10 10 11 116 8 10 12 14 15 16 17 18 19 20 20 21 22 22 23 23 23 242 3 3 4 5 6 6 7 7 8 8 9 9 10 10 11 11 11 126 8 10 12 14 15 16 18 18 19 20 21 22 22 23 23 24 24 252 3 4 4 5 6 6 7 8 8 9 9 10 10 11 11 11 12 126 8 10 12 14 16 17 18 19 20 21 21 22 23 23 24 25 25 252 3 4 4 5 6 7 7 8 9 9 10 10 11 11 11 12 12 136 8 10 12 14 16 17 18 19 20 21 22 23 23 24 25 25 26 262 3 4 5 5 6 7 8 8 9 9 10 10 11 11 12 12 13 136 8 10 12 14 16 17 18 19 20 21 22 23 24 25 25 26 26 272 3 4 5 6 6 7 8 8 9 10 10 11 11 12 12 13 13 136 8 10 12 14 16 17 18 20 21 22 23 23 24 25 26 26 27 272 3 4 5 6 6 7 8 9 9 10 10 11 12 12 13 13 13 146 8 10 12 14 16 17 18 20 21 22 23 24 25 25 26 27 27 28Source: Adapted from C. Eisenhardt and F. Swed, “Tables for Testing Randomness of Grouping in a Sequence of Alternatives,” The Annals of Statistics, vol. 14 (1943),pp. 83–86. Reprinted with permission of the Institute of Mathematical Statistics and of the Benjamin/Cummings Publishing Company, in whose publication, ElementaryStatistics, 3rd ed. (1989), by Mario F. Triola, this table appears.A–43