Question

1. Research examining the effects of preschool child care 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 say 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. This children are given a standardized math test for which the population mean is μ = 52.

The scores for the sample are as follows:

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

On the basis of this sample, children with a history of preschool day care significantly different from the general population? Use a two-tailed test with α = .05.

a. State the null hypothesis in words and in a statistical form

b. State the alternative hypothesis in words and a statistical form (1).

c.Compute the appropriate statistic to test the hypotheses. Sketch the distribution with the estimated standard error and locate the critical region(s) with the critical value(s) (6). [When you compute SS, you might want to use the definitional formula as it might be easier to compute SS this way].

d. State your statistical decision

e. Compute Cohen’s d. Interpret what this d really means in this context

f. Compute 95% CI

g. What is your conclusion? Interpret the result. Don’t forget to include statistical information as well (e.g., t-score, df, α, Cohen’s d)

Answer 1

H0 : child who spend more time in day care and children who stay at home doesn't differ significantly.

H1 : children who spend more time in day care perform better than children who stay at home. pl?☺️