SOLUTION: The population mean annual salary for environmental compliance specialists is about $62,000. A random sample of 35 specialists is drawn from this population. What is the probabilit

Algebra ->  Probability-and-statistics -> SOLUTION: The population mean annual salary for environmental compliance specialists is about $62,000. A random sample of 35 specialists is drawn from this population. What is the probabilit      Log On


   



Question 1043209: The population mean annual salary for environmental compliance specialists is about $62,000. A random sample of 35 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $60,000. Assume the mean is $5,600.
Answer by stanbon(75887) About Me  (Show Source):
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The population mean annual salary for environmental compliance specialists is about $62,000. A random sample of 35 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $60,000. Assume the standard deviation is $5,600.
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z(60,000) = (60,000-62000)/[5600/sqrt(35)] = -2.1129
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P(x-bar < 60,000) = P(z < -2.1129) = normalcdf(-100,-2.1129) = 0.0173
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Cheers,
Stan H.
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