In: Statistics and Probability
A data set lists earthquake depths. The summary statistics are nequals600, x overbarequals6.69 km, sequals4.25 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.
Solution:
The provided sample mean is Xˉ=6.69 and the sample standard deviation is s = 4.25
sample size is n = 600
(5) Conclusion
It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean μ is different than 6, at the 0.01 significance level.
Done