Description
A medical student took a standardized achievement test. In a test population of medical students, the scores were normally distributed. On this test, the mean score is 500 and the standard deviation is 100. The student’s reported score was 713. If this student is in a class of 200 and their scores are normally distributed, how many students in the class would be expected to equal or surpass this student’s score?
Explanation & Answer
mean= 500
stdev=100
student's score=713; n=200
find P(x>=713)
Transform x to z score
z= (713-500)/100/sqrt(200)= sqrt(200)*213/100=30.12
P(z>=30.12)=1-P(z<30.12)=1- 1=0
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