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Ryan, Engineer
Category: Calculus and Above
Satisfied Customers: 8976
Experience:  B.S. in Civil Engineering
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# The population mean annula salary for environmental

### Customer Question

The population mean annula salary for environmental compliance specialists is about \$63,500 with a standard deviation of \$6100. 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?
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Submitted: 7 months ago.
Category: Calculus and Above
Expert:  Ryan replied 7 months ago.

Hi,

Thank you for using the site. I'll be happy to help you with this problem.

Since the population standard deviation is known, you can use the z-statistic for this problem. The z-value is:

z = (60,000 - 63,500) / (6,100 / sqrt(35)) = -3.39

The probability is then P(x < 60,000) = P(z < -3.39) = 0.0003.

Thanks,

Ryan