A data set lists earthquake depths. The summary statistics are n=600​, x=5.69 ​km, s=4.75 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.     What are the null and alternative​ hypotheses?   A. H0​: μ≠5.00 km H1​: μ=5.00 km   B. H0​: μ=5.00 km H1​: μ>5.00 km   C. H0​: μ=5.00 km H1​: μ≠5.00 km D. H0​: μ=5.00 km H1​: μ<5.00 km   Determine the test statistic.   ​(Round to two decimal places as​ needed.)   Determine the​ P-value.   ​(Round to three decimal places as​ needed.)

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A data set lists earthquake depths. The summary statistics are n=600​,
x=5.69 ​km, s=4.75 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.
 
 
What are the null and alternative​ hypotheses?
 
A. H0​: μ≠5.00 km H1​: μ=5.00 km
 
B. H0​: μ=5.00 km H1​: μ>5.00 km
 
C. H0​: μ=5.00 km H1​: μ≠5.00 km
D. H0​: μ=5.00 km H1​: μ<5.00 km
 
Determine the test statistic.
 
​(Round to two decimal places as​ needed.)
 
Determine the​ P-value.
 
​(Round to three decimal places as​ needed.)
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