A test is given and the average (μX) score out of 100 was only a 53.1,...

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Statistics

A test is given and the average (μX) score out of 100 was only a53.1, with a SD (σX) of 8.9. Assuming the grades followed a normaldistribution, use the Z table or Excel and formulas to find thedividing line (test scores) between the A's, B's, C's, D's, andE's. Starting from the top, the teacher will give the highest 15%A's, the next 10% B's, the next 30% C's, the next 25% D's, and thebottom 20% will receive E's.

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Given 531 89 To find the probability we need to find the z scoresThose who get As Top 15 Therefore there are 85 belowthemPX x 085The z score at 085 is 10364Therefore 10364 X 531 89Solving for X we get X 10364 89 531X    See Answer
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