probability and statistic

n=600​, x=5.67 km, s=4.36 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.

Part 1.) What are the null and alternative​ hypotheses?

Part 2.) The test statistic for this hypothesis test is_____ ​(Round to two decimal places as​ needed.)

Part 3.) The​ P-value for this hypothesis test is_____​(Round to three decimal places as​ needed.)