Other research examining the effects of preschool childcare has found that children who spent time in day care, especially high quality daycare, perform better on math and language tests than children who stay at home with their mothers (Broberg, Wessels, Lamb, & Hwang, 1997). Typical results, for example, show that a sample of n = 25 children who attended day care before starting school had an average score of M = 87 with SS = 1536 on a standardized math test for which the population mean = 81.

Questions:

Is this sample sufficient to conclude that the children with a history of preschool day care are significantly different from the general population?

(Use a two-tailed test with a ? = .01)