SOLUTION: 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

Algebra ->  Probability-and-statistics -> SOLUTION: 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      Log On


   

Question 117088: 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) About Me  (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. At value should the lowest passing score be set if the school wishes only 2.5% of those taking the entrance test to pass?
-----------
The z-value above which 2.5% of a population lies is +1.96
---------
Find the raw score corresponding to that z-score:
1.96 = (x-200)/50
x-200 = 97.998
x = 297.998
-----------------
The passing score should be set at 297.998 or 298
==================
Cheers,
Stan H.