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A study shows that children who attended a high-quality daycare program before they enter school perform better on math tests than children who do not have daycare experience. The data showed 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 is µ = 81.
a. Use the sample data to make a point estimate of the average math test score for the population of children with a history of high-quality daycare. Based on your estimate, how much higher than average do these children score?
b. Make an interval estimate the population means score for the daycare children so that you are 95% confident that the true mean is in your interval.
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