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Statistical Analysis of Differences in Student Performance: Ethnicity and Course Sections

A statistical study analyzing how ethnicity and course sections affect student performance.

Elizabeth Chen
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Statistical Analysis of Differences in Student Performance: Ethnicity andCourse SectionsResearch Question 1:Compare the different ethnicities of students in the course and determine if therea statistically significant difference in averageFinal Examination points betweenthedifferentethnicities?Howwouldyoureportyourconclusiontotheinstructor?Solution.Asthisistocomparewith5populationmeans,itwouldbeappropriate to conduct a one-way ANOVA.Null hypothesis H0:54321====Alternative hypothesis Ha: one of54321,,,,is different than others.We conduct a one-way ANOVA in SPSS, and obtain the following ANOVAsummary table:ANOVAFinal Course PercentSum of SquaresdfMean SquareFSig.Between Groups650.2104162.5521.108.357Within Groups14665.447100146.654Total15315.657104TheresultssuggestthatthenullhypothesisH0isnotrejected,357.,108.1)100,4(==pF.So,thereis nostatistically significantdifference in average Final Examinationpoints between the different ethnicities.Research Question 2:Is there a statistically significant difference in total course points between thedifferent sections of the course and whether the students are in the lower orupper division? Based on your results what conclusions would you report to theinstructor?

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Subject
Statistics

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