SOLUTION: Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $35,00 and a standard deviation of $4000. What is the cutoff sal

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Question 854639: Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $35,00 and a standard deviation of $4000. What is the cutoff salary for teachers in the top 10%?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

mean of $35,00 and a standard deviation of $4000

What is the cutoff salary for teachers in the top 10%?

 z = NORMSINV(.10) = 1.2816

 z = 1.2816 = (X - $35,000)/$4000

     $4000*1.2816 + $35,000 = X

               $40,126.40 = X, the cutoff salary for teachers in the top 10%