Question

For seniors at Fallbury HS, the mean SAT math score 550 with a std.dev of 57

If an engineering school will only accept students with SAT math score in the top 22%,What is the minimum SAT math score for this program?

Answer 1

Solution :

Given that ,

mean = = 550

standard deviation = = 57

The z- distribution of 22% is

P( Z > z ) = 22%

1 - P( Z < z ) = 0.22

P(Z < z ) = 1 - 0.22

P( Z < z ) = 0.78

P( Z < 0.77 ) = 0.78

z = 0.77

Using z - score formula ,

X = z* +

X = 0.77*57 + 550

= 43.89 + 550

= 593.89

The minimum SAT math score for this program is 593.89