The combined math and verbal scores for females taking the S

The combined math and verbal scores for females taking the SAT-I test are normally distributed with a mean of 998 and a standard deviation of 202 (based on date from the College Board). If a college includes a minimum score of 800 among its requirements, what PERCENTAGE of females do not satisfy that requirement? Write your answer as a percent! Use Excel to obtain more accuracy. %

Solution

Normal Distribution
Mean ( u ) =998
Standard Deviation ( sd )=202
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
P(X < 800) = (800-998)/202
= -198/202= -0.9802
= P ( Z <-0.9802) From Standard Normal Table
= 0.1635                  
P(X > = 800) = (1 - P(X < 800)
= 1 - 0.1635 = 0.8365         

= 83.65%