Research examining the effects of pie school child care has found that children who spent time in day care, especially high-quality day care, perform helter 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 = 50. The scores for the sample are as follows; 53, 57, 61, 49, 51, 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 = .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 lest and the measure of effect size would appear in a research report.
To check: Whether the children with a history of preschool day-care are significantly different than that of general population using two-tailed test with .
A sample of 10 individual is selected from a population with mean 50. Two-tailed hypothesis test using is to be performed.
The test hypothesis are:
Null Hypothesis is
Alternate Hypothesis is
Degrees of Freedom:
For a two-tailed test with and , the critical value (CV) is obtained from the t-table as
The t-statistics is obtained by,
Step-by-step procedure to obtain the sample mean and standard error, using the SPSS software:
To find: The Cohen’s d.
To State: The outcome of hypothesis test and measure of effect size will appear in the research report.
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