A check cashing service recently insitutued a new customer identifier system after absorbing what is considered a large number of bad checks. The following data present the number of bad checks for the six-month periods before and after the installation of the new system, listed by local of the service:
Location Bad Check before new system Bad Checks After New System
1 12 8
2 15 12
3 27 26
4 31 29
5 9 10
6 16 13
7 7 5
8 14 19
9 25 21
10 19 26
Would you conclude that the new customer identification system resulted in a decrease number of bad checks? Use = 0.05 and an appropriate non-parametric method.