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Need help with a normal percentile question

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The average beginning salary for teachers in California is $41,181. Assume that this is a normal distribution with a standard deviation of $725. 10% of starting teachers in California will make "at most" ( not more than) how much money per year?

(Round to the nearest dollar)

Apr 12th, 2015

Let X = the most 10% of starting teacher will make

10% has a Z of -1.28

Then,

(X - 41,181) / 725 = -1.28

X - 41,181 = -928

X = 41,181 - 928 = $40,253

Apr 12th, 2015

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