The scores for a mathematics course seem to be normally distributed with mean 70 & standard deviation of 8. If the instructor wishes to give an A grade to 10% of the students, what should be the dividing line between an A grade and a B grade?
Suppose that is a random variable that corresponds to the score for a mathematics. Then, . corresponds to the dividing line between and . We have: , where . For we get: . Thus, is as a dividing line. (The answer is rounded up to two decimal places).
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