A developmental psychologist would like to know whether there is a difference in the sociability scores of children according the number of siblings they have. He chose three random samples of n = 5 children each according to three groups and measured their level of sociability using a standardized test. The scores are shown in the table below. Do the scores indicate significant differences among the three groups? Conduct two post hoc tests, Tukey's HSD Test and the Scheffe Test, both at a .05,
No sibling 4,5,7,3,4,
One sibling 7,7,6,6,7,
Two siblings 8,9,7,8,9,