Question

There are two last hard written examinations for statistics this term, the Problem Set and the Final Exam. If just in case the Problem Set scores are on a scale of 1 to 36. The distribution of Problem Set scores are approximately Normal with mean μ = 21.5 and standard deviation σ = 5.4. Final exam scores are reported on a scale from 60 to 240. The Final Exam scores are also normally distributed with a mean μ = 150.9 and standard deviation σ = 32.1. If your score on the Final Examination is 177 and your score in the Problem Set is 28. Assume that both exams have same weight in your final grade, of the two exams you took, which one did you have less mistakes? Justify your answer

Answer 1