Question

high school competency tests scores has that are normally distribution with a mean of 400 and a standard deviation of 100. if the top 3% of students receive an award. What’s the minimum score you would need to receive this award ?

Answer 1

U= 400, =100
1-0.03= 0.97
Z=1.88
Min=z*a+u=1.88*100+400= 588
588 is minimum score to receive the award.