3. Data Set "Earthquakes” lists earthquake depths, and the summery statistics are n=600, x=5.82 km, s=4.93 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00 km.

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**Earthquake Depth Analysis**

**Question 3:**  
The dataset "Earthquakes" provides information on earthquake depths, with the following summary statistics:  

- Sample size (\( n \)) = 600  
- Sample mean (\( \bar{x} \)) = 5.82 km  
- Sample standard deviation (\( s \)) = 4.93 km  

Use a 0.01 significance level to test the seismologist's claim that these earthquakes are from a population with a mean depth of 5.00 km.
Transcribed Image Text:**Earthquake Depth Analysis** **Question 3:** The dataset "Earthquakes" provides information on earthquake depths, with the following summary statistics: - Sample size (\( n \)) = 600 - Sample mean (\( \bar{x} \)) = 5.82 km - Sample standard deviation (\( s \)) = 4.93 km Use a 0.01 significance level to test the seismologist's claim that these earthquakes are from a population with a mean depth of 5.00 km.
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