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English proficiency exam during the week of registration

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At Indiana University, all new freshmen are given an English proficiency exam during the week of registration. Andra Bleier, a coordinator of the Academic Affairs office, is designing a course. She decides to place the top 15% into honors English and the bottom 20% into remedial English. Scores are normally distributed with a mean of 65 and standard deviation of 7. What scores separate the upper 15% and the bottom 20% of the students from the rest? Can you help her?

Score for Honors English

Score for Remedial English

Is this Central Limit Theorem? I just never know which application to use to solve these story problems? My mid-term document is uploaded for examples. Even question one is confusing in that I don't know which theorem to apply.

Reference no: EM132402256

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