Question 1063010: salary data was collected from each school system within a state. it was found that the mean annual teacher salary was normally distributed. the mean annual teacher salary for all of the school systems was $35,000 and the standard deviation was $19,500. school system a has a mean annual teacher salary of $47,500. what percent of the school systems pay a lower mean annual teacher salary than school a?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! salary data was collected from each school system within a state. it was found that the mean annual teacher salary was normally distributed. the mean annual teacher salary for all of the school systems was $35,000 and the standard deviation was $19,500. school system a has a mean annual teacher salary of $47,500. what percent of the school systems pay a lower mean annual teacher salary than school a?
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z(47500) = (47500-35000)/19500 = 0.64
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P(x < 47500) = P(z < 0.64) = normalcdf(-100,0.64) = 0.7389
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Cheers,
Stan H.
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