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 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 mean are as follows: 53, 57, 61, 49, 52, 56, 58, 62, 51, 56 1. 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 alpha of .01? 2. Compute Cohen’s d to measure the size of the preschool effect.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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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 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 mean are as follows:

53, 57, 61, 49, 52, 56, 58, 62, 51, 56

1. 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 alpha of .01?

2. Compute Cohen’s d to measure the size of the preschool effect.

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