Question

A prestigious university was rumored to throw away any applications that scored in the lower 30% of the SAT test. The mean SAT score was 1497 with a standard deviation of 322 in 2012. What is the cut off score to not have an application thrown away?

Answer 1

Cut off score is 1593.6

Explanation:

Given

Mean value = 1497

Standard Deviation = 322

Z value = 0.3

ALso

Z = x' - mean /Standard deviation

Substituting the given values, we get -

0.3 = x' - 1497/322

x' = 1593.6

Hence, the cut off score is 1593.6