The national average SAT score for Verbal and Math is 1028 w

The national average SAT score (for Verbal and Math) is 1028 with a standard deviation of 92. What is the probability that a randomly selected score exceeds 1200?

Select one:

a. 0.41

b. 0.88

c. 0.59

d. 0.12

e. Cannot be determined

Solution

We first get the z score for the critical value. As z = (x - u) / s, then as          
          
x = critical value =    1200      
u = mean =    1028      
          
s = standard deviation =    92      
          
Thus,          
          
z = (x - u) / s =    1.869565217      
          
Thus, using a table/technology, the right tailed area of this is          
          
P(z >   1.869565217   ) =    0.03077211 [ANSWER]

This answer is not in the choices, so please report this question to your instructor.