population mean annual salary for environmental compliance specialists is about $60,500. A random sample of 45 specialists is drawn from this population. What he probability that the mean salary of the sample is less than $58,000? Assume o = $6,000. probability that the mean salary of the sample is less than $58,000 is und to four decimal places as needed.) rpret the results. Choose the correct answer below. A. Only 0.26% of samples of 45 specialists will have a mean salary less than $58,000. This is an unusual event. B. About 0.26% of samples of 45 specialists will have a mean salary less than $58,000. This is not an unusual event C. Only 26% of samples of 45 specialists will have a mean salary less than $58,000. This is an unusual event. D. About 26% of samples of 45 specialists will have a mean salary less than $58,000. This is not an unusual event.

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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 $60,500. A random sample of 45 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $58,000? Assume σ = $6,000.

---

The probability that the mean salary of the sample is less than $58,000 is \[               \].

(Round to four decimal places as needed.)

**Interpret the results. Choose the correct answer below.**

- A. Only 0.26% of samples of 45 specialists will have a mean salary less than $58,000. This is an unusual event.
- B. About 0.26% of samples of 45 specialists will have a mean salary less than $58,000. This is not an unusual event.
- C. Only 26% of samples of 45 specialists will have a mean salary less than $58,000. This is an unusual event.
- D. About 26% of samples of 45 specialists will have a mean salary less than $58,000. This is not an unusual event.

**Graphical Representation (if applicable):**

The provided text does not include any graphs or diagrams. However, if you are using this problem in an educational context and wish to illustrate it with a diagram, you might consider a normal distribution curve highlighting the mean salary of $60,500 and marking the area corresponding to salaries less than $58,000 to visually represent the probability sought.
Transcribed Image Text:**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 $60,500. A random sample of 45 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $58,000? Assume σ = $6,000. --- The probability that the mean salary of the sample is less than $58,000 is \[ \]. (Round to four decimal places as needed.) **Interpret the results. Choose the correct answer below.** - A. Only 0.26% of samples of 45 specialists will have a mean salary less than $58,000. This is an unusual event. - B. About 0.26% of samples of 45 specialists will have a mean salary less than $58,000. This is not an unusual event. - C. Only 26% of samples of 45 specialists will have a mean salary less than $58,000. This is an unusual event. - D. About 26% of samples of 45 specialists will have a mean salary less than $58,000. This is not an unusual event. **Graphical Representation (if applicable):** The provided text does not include any graphs or diagrams. However, if you are using this problem in an educational context and wish to illustrate it with a diagram, you might consider a normal distribution curve highlighting the mean salary of $60,500 and marking the area corresponding to salaries less than $58,000 to visually represent the probability sought.
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