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Ryan
Ryan, Engineer
Category: Calculus and Above
Satisfied Customers: 9023
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: 10 months ago.
Category: Calculus and Above
Expert:  Ryan replied 10 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.

Please feel free to ask if you have any questions about this solution.

Thanks,

Ryan

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