Chapter 8.3, Problem 16BSC

Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), nr critical value(s), and state the final conclusion that addresses the original claim.

16. Earthquake Depths Data Set 21 “Earthquakes” in Appendix B lists earthquake depths, and the summary statistics are n = 600, $\bar{x}$ = 5.82 km, s = 4.93 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 km.