A sociologist is interested in studying the IQs of teachers from low income areas of a...

 

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A sociologist is interested in studying the IQs of teachers from low income areas of a major city. Six schools were randomly chosen from low income areas and from each of these schools, five teachers were randomly chosen. The following table summarizes the mean IQ for each of these schools (NOTE: These numbers are all made up and are not intended to reflect teachers' true IQ scores). School I Mean 97 99 94 109 98 103 (a) If MSE=40, is there significant variability in average IQ among schools in low income areas (use a = .01)? (b) Estimate all variance components, and construct the 95% confidence interval of each variance component. (c) How much power does this study have if the true variances were such that 20 = o? and n were increased to 10? (d) Suppose the national average IQ for teachers is 105. Test the null hypothesis that the average IQ of these teachers is not lower than the national average (a = .05). A sociologist is interested in studying the IQs of teachers from low income areas of a major city. Six schools were randomly chosen from low income areas and from each of these schools, five teachers were randomly chosen. The following table summarizes the mean IQ for each of these schools (NOTE: These numbers are all made up and are not intended to reflect teachers' true IQ scores). School I Mean 97 99 94 109 98 103 (a) If MSE=40, is there significant variability in average IQ among schools in low income areas (use a = .01)? (b) Estimate all variance components, and construct the 95% confidence interval of each variance component. (c) How much power does this study have if the true variances were such that 20 = o? and n were increased to 10? (d) Suppose the national average IQ for teachers is 105. Test the null hypothesis that the average IQ of these teachers is not lower than the national average (a = .05).

Answer rating: 100% (QA)

a The grand sample mean is 100 This means the treatment sum of squares is SSTtrt 532 12 62 92 22 32 ... View the full answer