Research examining the effects of preschool childcare
has found that children who spent time in day care,
especially high-quality day care, perform better on math and language tests
than children who stay home with their mothers (Broberg, Wessels, Lamb, & Hwang, 1997).
In a typical study, a researcher obtains a sample of n = 10 children who attended day care before
starting school. The children are given a standardized math test for which the population mean
is u = 50. The scores for the sample are as follows:
53, 57, 61, 49, 52, 56, 58, 62, 51, 56.
a. 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.
b. Compute Cohen's d to measure the size of the preschool effect.
c. Write a sentence showing how the outcome of the hypothesis test
and the measure of effect size would appear in a research report.
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