Find the probability and interpret the results. If convenient, use technology to find the probability. The population mean annual salary for environmental compliance specialists is about $61,000. A random sample of 43 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $57,500? Assume a = $5,900. The probability that the mean salary of the sample is less than $57,500 is. (Round to four decimal places as needed.)
Find the probability and interpret the results. If convenient, use technology to find the probability. The population mean annual salary for environmental compliance specialists is about $61,000. A random sample of 43 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $57,500? Assume a = $5,900. The probability that the mean salary of the sample is less than $57,500 is. (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Transcription for Educational Website:**
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**Find the probability and interpret the results. If convenient, use technology to find the probability.**
The population mean annual salary for environmental compliance specialists is about $61,000. A random sample of 43 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $57,500? Assume σ = $5,900.
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**The probability that the mean salary of the sample is less than $57,500 is [ ].**
*(Round to four decimal places as needed.)*
---
**Explanation:**
This problem involves calculating a probability using the normal distribution. Given the population mean and standard deviation, along with sample size, you would typically standardize the sample mean using the Z-score formula for sample means. This is a standard problem in statistical inference, and often technology or statistical software is used to compute this probability efficiently.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdac418c7-7b26-43d7-bc46-18689988fbfb%2F72c450ed-6e3e-45bc-a3fd-7d9f75912fea%2Frvylmuh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
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**Find the probability and interpret the results. If convenient, use technology to find the probability.**
The population mean annual salary for environmental compliance specialists is about $61,000. A random sample of 43 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $57,500? Assume σ = $5,900.
---
**The probability that the mean salary of the sample is less than $57,500 is [ ].**
*(Round to four decimal places as needed.)*
---
**Explanation:**
This problem involves calculating a probability using the normal distribution. Given the population mean and standard deviation, along with sample size, you would typically standardize the sample mean using the Z-score formula for sample means. This is a standard problem in statistical inference, and often technology or statistical software is used to compute this probability efficiently.
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