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QUESTION
A statistics department only accepts students with SAT-Math scores in the top 15% of the population.
A statistics department only accepts students with SAT-Math scores in the top 15% of the population. Given that the population of SAT-Math scores has a mean of 500 and standard deviation of 100, what is the minimum score needed for admissions to the department? [Hint: You will need to look up a proportion on the standard normal distribution to find the z score which you can then translate into an SAT-Math score; it’s like you are going in reverse compared to the examples in the lecture notes]
P ( Z > z )=(100 −15 )P ( Z > z )=0.85z=1.0364 z= x−xbarσ 1.0364= x−500100 x=603.64The minimum score is 604