Probability and Statistical Analysis: Week One Homework Assignment

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Probability and Statistical Analysis: Week One HomeworkAssignmentWeek One Homework Assignment1.A total of 1,300students have completed theMAT 103course during the past ten years.Arandom sample consisting of 25 students who completed the course during the past tenyearswas selected and theirfinal course gradesare summarized in the following table.Assumingthe sample group is representative of prior students who have completed MAT103, and assumingprior students who have completed thecourseare representative offuture students who will take thecourse,what is the95% confidenceinterval estimate forthe mean grade forafuture student enrolling in theMAT 103course?Student No.Course Grade183.17282.31390.18493.63590.14696.06783.75885.17986.671093.811183.111282.161389.481486.761583.761686.891788.571896.931986.482095.822192.322278.72392.672474.562578.48Sample mean (x-bar) = 87.26Sample standard deviation (s) = 5.89

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