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The average exam score for students enrolled in statistics classes at Indiana University Northwest is 80...

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Statistics

The average exam score for students enrolled in statisticsclasses at Indiana University Northwest is 80 and grades arenormally distributed. A professor decides to select a random sampleof 25 students from his CJ statistics class to see how CJ studentscompare to the student body in terms of exam performance. Theaverage exam score of this sample is 78 with a variance equal to100. Are the stats exam scores of the students in the CJ classsignificantly different when compared to the average universitystudent at IUN?

a. Reach a statistical conclusion

b. Interpret your results

c. What would be your statistical conclusion and interpretationif the size of the selected sample would be 100?

2. Using the information provided at Q1, calculate the 95%confidence interval of the mean stats exam scores for thepopulation of CJ students enrolled at IUN. [sample size = 25]

a. Interpret the 95%CI

b. Test the hypothesis that the CJ students’ population mean atstats exam is 80. Do you reject or fail to reject the nullhypothesis? Justify your conclusion.

Answer & Explanation Solved by verified expert
3.6 Ratings (411 Votes)
1Given the sample size andsample mean sample standard deviation The two sided confidence interval for mean based on thesample data isThe    See Answer
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