A data set lists earthquake depths. The summary statistics are n=500​, x=5.38 ​km, s=4.62 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. 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.

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A data set lists earthquake depths. The summary statistics are
n=500​,
x=5.38
​km,
s=4.62
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.
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.
 
 
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