Question: I need help with: A cultural competency test was administered to individuals from two different races, labeled 1 & 2. You are to use the
I need help with:
A cultural competency test was administered to individuals from two different races, labeled 1 & 2.
You are to use the Mann-Whitney to see if there is a statistical difference in the scores of the two groups.
From the data at the bottom, I calculated the following
| Alpha | 0.050 | 1 | Sample 1 | n | 71 | Rank sum | 5301 | Mann-Whitney U | 2864 |
| Tails | 2.000 | 2 | Sample 2 | n | 79 | Rank sum | 6024 | Mann-Whitney U | 2745 |
| N | 150.000 | ||||||||
| Mann-Whitney U | 2745.000 | 71 | |||||||
| Mean | 2804.500 | 79 | |||||||
| Variance | 70579.917 | 0 | |||||||
| Standard Deviation | 265.669 | ||||||||
| Z-Score | 0.224 | ||||||||
| Critical value for Mann-Whitney U test statistic | 2283.749 | ||||||||
| Significance (p-value) | 0.823 |
I concluded that :
| Not significant |
Data:
| Participant | Assessment Score | Race | M-W Rank 1 | M-W Rank 2 |
| 1 | 199 | 2 | 0 | 114 |
| 2 | 174 | 1 | 4 | 0 |
| 3 | 180 | 2 | 0 | 14 |
| 4 | 199 | 2 | 0 | 114 |
| 5 | 183 | 1 | 30 | 0 |
| 6 | 183 | 2 | 0 | 30 |
| 7 | 185 | 2 | 0 | 39 |
| 8 | 195 | 1 | 95.5 | 0 |
| 9 | 176 | 1 | 7 | 0 |
| 10 | 183 | 1 | 30 | 0 |
| 11 | 200 | 2 | 0 | 123 |
| 12 | 180 | 1 | 14 | 0 |
| 13 | 197 | 2 | 0 | 105 |
| 14 | 185 | 1 | 39 | 0 |
| 15 | 178 | 1 | 9.5 | 0 |
| 16 | 188 | 2 | 0 | 58 |
| 17 | 183 | 2 | 0 | 30 |
| 18 | 180 | 2 | 0 | 14 |
| 19 | 188 | 1 | 58 | 0 |
| 20 | 187 | 1 | 48.5 | 0 |
| 21 | 181 | 2 | 0 | 21.5 |
| 22 | 187 | 2 | 0 | 48.5 |
| 23 | 185 | 1 | 39 | 0 |
| 24 | 195 | 2 | 0 | 95.5 |
| 25 | 188 | 2 | 0 | 58 |
| 26 | 173 | 1 | 1.5 | 0 |
| 27 | 206 | 1 | 147 | 0 |
| 28 | 174 | 2 | 0 | 4 |
| 29 | 206 | 2 | 0 | 147 |
| 30 | 176 | 2 | 0 | 7 |
| 31 | 178 | 1 | 9.5 | 0 |
| 32 | 206 | 2 | 0 | 147 |
| 33 | 180 | 2 | 0 | 14 |
| 34 | 180 | 1 | 14 | 0 |
| 35 | 206 | 2 | 0 | 147 |
| 36 | 180 | 2 | 0 | 14 |
| 37 | 206 | 1 | 147 | 0 |
| 38 | 180 | 1 | 14 | 0 |
| 39 | 206 | 2 | 0 | 147 |
| 40 | 181 | 1 | 21.5 | 0 |
| 41 | 183 | 1 | 30 | 0 |
| 42 | 206 | 1 | 147 | 0 |
| 43 | 183 | 1 | 30 | 0 |
| 44 | 183 | 1 | 30 | 0 |
| 45 | 188 | 2 | 0 | 58 |
| 46 | 183 | 1 | 30 | 0 |
| 47 | 192 | 1 | 76.5 | 0 |
| 48 | 190 | 1 | 67 | 0 |
| 49 | 183 | 1 | 30 | 0 |
| 50 | 185 | 2 | 0 | 39 |
| 51 | 190 | 2 | 0 | 67 |
| 52 | 192 | 2 | 0 | 76.5 |
| 53 | 185 | 2 | 0 | 39 |
| 54 | 187 | 1 | 48.5 | 0 |
| 55 | 174 | 2 | 0 | 4 |
| 56 | 176 | 2 | 0 | 7 |
| 57 | 187 | 1 | 48.5 | 0 |
| 58 | 187 | 2 | 0 | 48.5 |
| 59 | 173 | 1 | 1.5 | 0 |
| 60 | 188 | 1 | 58 | 0 |
| 61 | 192 | 2 | 0 | 76.5 |
| 62 | 188 | 2 | 0 | 58 |
| 63 | 188 | 2 | 0 | 58 |
| 64 | 193 | 2 | 0 | 86 |
| 65 | 195 | 2 | 0 | 95.5 |
| 66 | 195 | 2 | 0 | 95.5 |
| 67 | 195 | 1 | 95.5 | 0 |
| 68 | 197 | 2 | 0 | 105 |
| 69 | 197 | 2 | 0 | 105 |
| 70 | 197 | 1 | 105 | 0 |
| 71 | 197 | 1 | 105 | 0 |
| 72 | 199 | 2 | 0 | 114 |
| 73 | 199 | 2 | 0 | 114 |
| 74 | 199 | 2 | 0 | 114 |
| 75 | 199 | 2 | 0 | 114 |
| 76 | 192 | 1 | 76.5 | 0 |
| 77 | 199 | 2 | 0 | 114 |
| 78 | 193 | 2 | 0 | 86 |
| 79 | 197 | 2 | 0 | 105 |
| 80 | 181 | 2 | 0 | 21.5 |
| 81 | 187 | 2 | 0 | 48.5 |
| 82 | 202 | 1 | 131.5 | 0 |
| 83 | 197 | 1 | 105 | 0 |
| 84 | 192 | 1 | 76.5 | 0 |
| 85 | 204 | 1 | 139.5 | 0 |
| 86 | 204 | 2 | 0 | 139.5 |
| 87 | 181 | 1 | 21.5 | 0 |
| 88 | 192 | 2 | 0 | 76.5 |
| 89 | 200 | 1 | 123 | 0 |
| 90 | 202 | 1 | 131.5 | 0 |
| 91 | 192 | 1 | 76.5 | 0 |
| 92 | 193 | 2 | 0 | 86 |
| 93 | 202 | 1 | 131.5 | 0 |
| 94 | 190 | 2 | 0 | 67 |
| 95 | 200 | 1 | 123 | 0 |
| 96 | 204 | 2 | 0 | 139.5 |
| 97 | 195 | 1 | 95.5 | 0 |
| 98 | 185 | 1 | 39 | 0 |
| 99 | 187 | 2 | 0 | 48.5 |
| 100 | 193 | 1 | 86 | 0 |
| 101 | 181 | 2 | 0 | 21.5 |
| 102 | 181 | 1 | 21.5 | 0 |
| 103 | 181 | 2 | 0 | 21.5 |
| 104 | 181 | 2 | 0 | 21.5 |
| 105 | 185 | 2 | 0 | 39 |
| 106 | 185 | 2 | 0 | 39 |
| 107 | 185 | 2 | 0 | 39 |
| 108 | 187 | 1 | 48.5 | 0 |
| 109 | 187 | 2 | 0 | 48.5 |
| 110 | 187 | 2 | 0 | 48.5 |
| 111 | 188 | 1 | 58 | 0 |
| 112 | 188 | 1 | 58 | 0 |
| 113 | 190 | 1 | 67 | 0 |
| 114 | 190 | 2 | 0 | 67 |
| 115 | 190 | 1 | 67 | 0 |
| 116 | 190 | 1 | 67 | 0 |
| 117 | 190 | 2 | 0 | 67 |
| 118 | 190 | 1 | 67 | 0 |
| 119 | 192 | 1 | 76.5 | 0 |
| 120 | 192 | 2 | 0 | 76.5 |
| 121 | 192 | 2 | 0 | 76.5 |
| 122 | 193 | 2 | 0 | 86 |
| 123 | 193 | 1 | 86 | 0 |
| 124 | 193 | 2 | 0 | 86 |
| 125 | 193 | 1 | 86 | 0 |
| 126 | 193 | 2 | 0 | 86 |
| 127 | 195 | 1 | 95.5 | 0 |
| 128 | 195 | 2 | 0 | 95.5 |
| 129 | 195 | 2 | 0 | 95.5 |
| 130 | 195 | 2 | 0 | 95.5 |
| 131 | 197 | 1 | 105 | 0 |
| 132 | 197 | 2 | 0 | 105 |
| 133 | 199 | 1 | 114 | 0 |
| 134 | 199 | 1 | 114 | 0 |
| 135 | 200 | 2 | 0 | 123 |
| 136 | 200 | 1 | 123 | 0 |
| 137 | 200 | 1 | 123 | 0 |
| 138 | 200 | 1 | 123 | 0 |
| 139 | 200 | 2 | 0 | 123 |
| 140 | 200 | 2 | 0 | 123 |
| 141 | 202 | 2 | 0 | 131.5 |
| 142 | 202 | 1 | 131.5 | 0 |
| 143 | 202 | 1 | 131.5 | 0 |
| 144 | 202 | 1 | 131.5 | 0 |
| 145 | 202 | 2 | 0 | 131.5 |
| 146 | 204 | 2 | 0 | 139.5 |
| 147 | 204 | 1 | 139.5 | 0 |
| 148 | 204 | 1 | 139.5 | 0 |
| 149 | 204 | 2 | 0 | 139.5 |
| 150 | 204 | 1 | 139.5 | 0 |
| 5301 | 6024 |
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