Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

Question

A data set lists earthquake depths. The summary statistics are n=500​, x overbar =5.74 ​km, s=4.26 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. Assume that a simple random sample has been selected.

Answer 1

If you have a sample size, sample mean, and sample standard deviation, which test and formula do you want to use? (Hint: you're going to test the null hypothesis that the sample mean differs from the population mean of 5, so think about Z- or t- distributions...)