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

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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) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
*Note: z+=+blue%28x+-+mu%29%2Fblue%28sigma%29
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