Homework Sourse2 The daily balance in the checking accounts for two sisters
2) The daily balance in the checking accounts for two sisters on a sample of days is given in the chart. With .05 significance, test the claim that the population of matched pairs has differences with a median equal to 0. Use the Wilcoxon Signed-Ranks test.
| Anna | $230 | $15 | $110 | $72 | $10 | $545 | $97 |
| Brittney | $190 | $55 | $127 | $70 | $215 | $420 | $81 |
Solution
Conclusion:
The W-value is 13.5. The critical value of W for N = 7 at p 0.05 is 2. Therefore, the result is notsignificant at p 0.05.
| S.No | Anna | Brittney | Difference | Positive | Absolute Diff | Rank | Signed Rank | |||||
| 1 | 230 | 190 | 40 | 1 | 40 | 4.5 | 4.5 | |||||
| 2 | 15 | 55 | -40 | -1 | 40 | 4.5 | -4.5 | |||||
| 3 | 110 | 127 | -17 | -1 | 17 | 3 | -3 | |||||
| 4 | 72 | 70 | 2 | 1 | 2 | 1 | 1 | |||||
| 5 | 10 | 215 | -205 | -1 | 205 | 7 | -7 | |||||
| 6 | 545 | 420 | 125 | 1 | 125 | 6 | 6 | |||||
| 7 | 97 | 81 | 16 | 1 | 16 | 2 | 2 | |||||
| 13.5 | *positive sum | |||||||||||
| -14.5 | *netgative sum | |||||||||||
| 13.5 | * test statistic(W) | |||||||||||
| Conclusion: The W-value is 13.5. The critical value of W for N = 7 at p 0.05 is 2. Therefore, the result is notsignificant at p 0.05. |
