In: Statistics and Probability
Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations.
| Site I | Site II | Site III | Site IV | 
| 16 | 19 | 30 | 19 | 
| 25 | 7 | 20 | 24 | 
| 6 | 33 | 10 | 13 | 
| 24 | 2 | 47 | 34 | 
| 14 | 21 | 11 | |
| 15 | 12 | 
Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance.