Teacher perceptions of child behavior. Developmental Psychology (Mar. 2003) published a st...

Teacher perceptions of child behavior. Developmental Psychology (Mar. 2003) published a study on teacher perceptions of the behavior of elementary school children. Teachers rated the aggressive behavior of a sample of 11,160 New York City public school children by responding to the statement “This child threatens or bullies others in order to get his/her own way.” Responses were measured on a scale ranging from 1 ( never ) to 5 ( always ). Summary statistics for the sample of 11,160 children were reported as  and s = 1.05. Let μ represent the mean response for the population of all New York City public school children. Suppose you want to test H0: μ = 3 againist Ha: μ ≠ 3

a.In the words of the problem, define a Type I error and a Type II error.

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b.Use the sample information to conduct the test at a significance level of α = .05.

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c.Conduct the test from part b at a significance level of α = .10.