Question 183502
The score on the entrance test for a well known law school has a mean score of 200 points and a standard deviation of 50 points. At what value should the lowest passing score be set if the school wishes only 2.5% of those taking the entrance test to pass? 
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1st: Find the z-score on the left tail of the normal curve that has
2.5% of the area to its left.  That score is -1.96.
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2nd: Using the form z = (x-u)/s, solve for "x":
-1.96 = (x-200)/50
x-200 = -98 
x = 102
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Conclusion: The lowest passing score should be 102
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Cheers,
Stan H.