The average high-school teacher annual salary is $43,000 (Payscale.com, August 2

Question

The average high-school teacher annual salary is $43,000 (Payscale.com, August 20, 2010). Let teacher salary be normally distributed with a standard deviation of $18,000. Use Table 1.

What percent of high school teachers make more than $80,000? (Round "z" value and final answer to 2 decimal places.)

The average high-school teacher annual salary is $43,000 (Payscale.com, August 20, 2010). Let teacher salary be normally distributed with a standard deviation of $18,000. Use Table 1.

What percent of high school teachers make more than $80,000? (Round "z" value and final answer to 2 decimal places.)

Explanation / Answer

Normal Distribution
Mean ( u ) =43000
Standard Deviation ( sd )=18000
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
P(X > 80000) = (80000-43000)/18000
= 37000/18000 = 2.0556
= P ( Z >2.056) From Standard Normal Table
= 0.0197 ~ 1.97% percent of high school teachers make more than $80,000       

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