Question

A data set lists earthquake depths. The summary statistics are n=500 x =6.35 ​km, s=4.12 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 6.00. 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.

a)Determine the test statistic.

b)Determine the​ P-value.

c) State the final conclusion that addresses the original claim

__(fail to reject, or reject)_____ Ho there is _(not sufficient, or sufficient) _____ evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km_(is not, is)____ correct

Answer 1

Let denotes the mean of the population of earthquake depths.

There is sufficient evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km is correct.