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Total scores. Here are the total scores of 10 students in an introductory statistics course:
68 54 92 75 73 98 64 55 80 70
Previous experience with this course suggests that these scores should come from a distribution that is approximately Normal with mean 70 and standard deviation 10.
(a) Using these values for μ and σ, standardize the scores of these 10 students.
(b) If the grading policy is to give grades of A to the top 15% of scores based on the Normal distribution with mean 70 and standard deviation 10, what is the cutoff for an A in terms of a standardized score?
(c) Which students earned a grade of A in this course?
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