A data set lists earthquake depths. The summary statistics are n=500, x=4.74 km, s=4.23 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 alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.