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A data set lists earthquake depths. The summary statistics N=500​, x =4.39 km, S=4.31 km. Use...

A data set lists earthquake depths. The summary statistics N=500​, x =4.39 km, S=4.31 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.

Test statistic=

​(Round to two decimal places as​ needed.)

Determine the​ P-value P=

State the final conclusion that addresses the original claim.

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