A data set lists earthquake depths. The summary statistics are n=500​, x=4.69 ​km, s=4.11 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 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Determine the test statistic.     ​(Round to two decimal places as​ needed.) Determine the​ P-value.   ​(Round to three decimal places as​ needed.) State the final conclusion that addresses the original claim.   Reject Fail to reject H0.   There is   sufficient not sufficient   evidence to conclude that the original claim that the mean of the population of earthquake depths is 4.00 km   is is not correct.

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A data set lists earthquake depths. The summary statistics are n=500​, x=4.69 ​km, s=4.11 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 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

Determine the test statistic.
 
 
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
​(Round to three decimal places as​ needed.)
State the final conclusion that addresses the original claim.
 
Reject
Fail to reject
H0.
 
There is
 
sufficient
not sufficient
 
evidence to conclude that the original claim that the mean of the population of earthquake depths is
4.00 km
 
is
is not
correct.
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