A data set lists earthquake depths. The summary statistics aren=500 x =6.35 ​km, s=4.12 km. Use a 0.01 significance level to testthe claim of a seismologist that these earthquakes are from apopulation with a mean equal to 6.00. Assume that a simple randomsample has been selected. Identify the null and alternative​hypotheses, test​ statistic, P-value, and state the finalconclusion that addresses the original claim.
a)Determine the test statistic.
b)Determine the​ P-value.
c) State the final conclusion that addresses the originalclaim
__(fail to reject, or reject)_____ Ho there is _(not sufficient,or sufficient) _____ evidence to conclude that the original claimthat the mean of the population of earthquake depths is 6.00 km_(isnot, is)____ correct
