Homework is testing a claim about a mean how ever in this specific problem I need help determining the test statistic please show me your work

0.17 of 1 A data set lists earthquake depths. The summary statistics are n = 400, x = 4.96 km, s = 4.74 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