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Question 22 9 pts Use the Wilcoxon rank sum test on the data below to determine at the 10% significance level whether the two population locations differ. Sample 1 32 22 19 29 20 34 25 9 28 17 Sample2 29 20 18 27 1923 19 12 22 10 HO: the two population locations are the same Ha: the two population locations are different Test statistics = 90.5 Critical Value - 82 Conclusions: The two population locations:

Answer 1

SECTION J.1: Table of Critical Values for the Wilcoxon Rank-Sum Test 1-tail 2-tail a = 0.025 a = 0.05 a= 0.05 a = 0.10 1-tail 2-tail Q = 0.02 Q=0.0 m n W d P W d P m n W d 10 10 7 7 7 7 7 21 22 23 24 25 64 139 66 144 68 149 70 154 72 159 37 39 41 43 45 .0240 .0240 .0241 .0241 .0242 69 134 72 138 74 143 76 148 78 153 42 45 47 49 51 .0449 .0492 .0481 .0470 .0461 10 20 21 22 23 24 110 200 113 207 116 214 119 221 122 228 56 59 62 65 68 10 10 8 9 10 11 8 8 8 8 8 10 49 87 51 93 53 99 55 105 58 110 14 16 18 20 23 .0249 .0232 .0217 .0204 .0237 51 85 54 90 56 96 59 101 62 106 16 19 21 24 27 .0415 .0464 .0416 .0454 .0489 11 25 11 12 13 14 126 234 96 157 99 165 103 172 106 180 72 31 34 38 41 11 12 11 11 8 8 8 8 13 14 15 16 17 60 116 62 122 65 127 67 133 70 138 25 27 30 32 35 .0223 .0211 .0237 .0224 .0247 64 112 67 117 69 123 72 128 75 133 29 32 34 37 40 .0445 .0475 .0437 .0463 .0487 11 11 11 11 15 16 17 18 19 110 187 113 195 117 202 121 209 124 217 45 48 52 56 59 8 11 8 18 11 11 8 19 8 8 8 20 21 22 72 144 74 150 77 155 79 161 81 167 37 39 42 44 46 .0235 .0224 .0244 .0233 .0223 77 139 80 144 83 149 85 155 88 160 42 45 48 50 53 .0452 .0475 .0495 .0464 .0483 11 11 11 20 21 22 23 24 128 224 131 232 135 239 139 246 142 254 63 66 70 74 77 8 8 8 9 9 23 24 25 9 10 84 172 86 178 89 183 62 109 65 115 49 51 54 18 21 .0240 .0231 .0247 .0200 .0217 90 166 93 171 96 176 66 105 69 111 55 58 61 22 25 .0454 .0472 .0488 .0470 .0474 11 12 12 12 12 25 12 13 14 15 146 261 115 185 119 193 123 201 127 209 81 38 42 46 50 9 11 9 9 12 13 14 15 24 27 29 32 35 .0232 .0245 .0217 .0228 .0238 72 117 75 123 78 129 81 135 84 141 28 31 34 37 40 12 12 12 12 12 16 17 18 19 20 54 58 62 66 70 9 9 68 121 71 127 73 134 76 140 79 146 82 152 84 159 87 165 90 171 93 177 .0476 .0477 .0478 .0478 .0478 .0477 .0476 .0475 .0474 .0473 131 217 135 225 139 233 143 241 147 249 151 257 155 265 159 273 163 281 167 289 .0247 9 9 16 17 18 9 9 38 40 43 46 49 .0223 .0231 .0239 .0245 87 147 90 153 93 159 96 165 99 171 43 46 49 52 55 12 12 12 12 12 21 22 23 24 25 74 78 82 86 90 19 9 20 9 9 9 13 13 21 22 23 24 25 95 184 98 190 101 196 104 202 107 208 51 54 57 60 63 .0225 .0231 .0237 .0243 .0249 102 177 105 183 108 189 111 195 114 201 58 61 64 67 70 .0472 .0471 .0470 .0469 .0468 13 14 15 16 17 13 13 13 136 215 141 223 145 232 150 240 154 249 46 51 55 60 64 9 9 10 10 10 10 10 10 11 12 13 14 78 132 81 139 84 146 88 152 91 159 24 27 30 34 37 .0216 .0215 .0213 .0247 .0242 82 128 86 134 89 141 92 148 96 154 28 32 35 38 42 .0446 .0493 .0465 .0441 .0478 13 13 13 13 13 18 19 20 21 22 158 258 163 266 167 275 171 284 176 292 68 73 77 81 86 40 10 10 10 10 10 15 16 17 18 19 94 166 97 173 100 180 103 187 107 193 43 46 49 53 .0238 .0234 .0230 .0226 .0250 99 161 103 167 106 174 110 180 113 187 45 49 52 56 59 .0455 .0487 .0465 .0493 .0472 13 13 13 14 14 23 24 25 14 15 180 301 185 309 189 318 160 246 164 256 90 95 99 56 60