SOLUTION: Scores on an English test are normally distrubuted with a mean of 33.8 and a standard deviation of 8.5. What score separates the top 59%, from the bottom 41%?

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Question 435620: Scores on an English test are normally distrubuted with a mean of 33.8 and a standard deviation of 8.5. What score separates the top 59%, from the bottom 41%?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Scores are normally distrubuted with a mean of 33.8 and a standard deviation of 8.5.

What score separates the top 59%, from the bottom 41%? 

  z = -.2276 represents those in bottom 41%

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

   x = -.2276*8.5 + 33.8

   x = 31.8654 Or score of 32 would separate bottom 41% from the top 59%