An analysis of the grades on the first test in History 101 revealed that they approximate a normal curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A to the upper 10 percent of the test grades. What is the dividing point between an A and a B grade?
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A. B. C. D. E.C
First we need to find the z value for an area under the curve representing 40%. (This is because we are looking for the top 10%). From the table z = 1.282.
Therefore using the z formula we have 1.282 = X-75/8. We find that x = 85.25