In a large section of a statistics class, the points for the final exam are norm

Question

In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 71 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% receive d B the middle 40% receive C's the next 20% receive Ds, and the bottom 10% receive Fs. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D Click here to view Page 1 of the Standard Normal Table The lowest score that would qualify a student for an A is 81.252 (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is 75 Round up to the nearest integer as needed.) The lowest score that would quality a student for a C is Round up to the nearest integer as needed.)

Explanation / Answer

Solution

(a) Lowest score to qualify a student for an A = (A-71)/8 = 1.28 (10%)

A = 81

(b) Lowest score to qualify a student for a B = (B-71)/8 = 0.8416

B = 78

(c)  Lowest score to qualify a student for a C = (C-71)/8 = -0.5244

C = 67

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