SOLUTION: This is not text book - statistics homework and it's rough! The score on the entrance test for a well known law school has a mean score of 200 points and a standard deviation of

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Question 116941: This is not text book - statistics homework and it's rough!
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 value should the lowest passing score be set if the school wishes only 2.5% of those taking the entrance test to pass?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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.
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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Find the z-score associated with the highest 2.5% of the population.
z = 1.96
Find the x-value associated with that z-score.
z = (x-mu)/sigma
1.96 = (x-200)/50
x = 1.96*50 + 200
x = 298
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That score separates the top 2.5% of the scores from the rest of
the population.
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Cheers,
Stan H.