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Statistical Comparison of Reading Comprehension Test Scores: Private vs. Public School Eighth-Graders

Comparative statistical analysis of reading comprehension in different school systems.

Caleb Patterson
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Statistical Comparison of Reading Comprehension Test Scores: Private vs. PublicSchool Eighth-GradersScenario:A researcher asks if eighth-grade students attending a private middle school have higher orlower scores on a test of readingcomprehension when compared to the population of eighth-graders attending publicly-funded schools. A sample of 144 private school eighth-graders takenthe same exam that all public school 8th graders take at the end of the school year. The privateschool students have a mean test score of 220.8 and the mean score for the public schoolstudents is 204.2, with a standard deviation of 11.4.State the independent and dependent variables and explain how you know which is which.The independent variable is the type of school, whether private or publicly funded. Thedependent variable here is test score of eighth-grade students.Explain whether the researcher should use a one-tailed or a two-tailed z test and explain why.State the null hypothesis in words (not formulas).Null hypothesis,H0: The mean test score of eighth-grade students attending private middleschools is 204.2, i.e.mean test score of eighth-grade students attending publicly-fundedschools, i.e.μ= 204.2.

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