SOLUTION: A mandatory competency test for high school sophomore has a normal distribution with a mean of 1,200 and a standard deviation of 300. a) The top 3% of students receive %500. What

Question 376719: A mandatory competency test for high school sophomore has a normal distribution with a mean of 1,200 and a standard deviation of 300.
a) The top 3% of students receive %500. What is the minimum score you would need to receive this reward?
b)The bottom 1.5% of students must go to summer school. What is the minimum score you would need to stay out of this group?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

*Note: 

Top 3%  NORMSINV(0.97)= 1.8808

1.8808 * 300 + 1200 = 1764 To receive the award would need to have score > 1764



Bottom 1.5%  NORMSINV(0.015) = -2.17

-2.17*300 + 1200 = 549 ro stay out of this group would need to have score >549 

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