Question

A data set lists earthquake depths. The summary statistics are n= 400, X = 4.87 km, s = 4.49 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 4.00. 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. What are the null and alternative hypotheses? O B. Ho u = 4.00 km H:H<4.00 km O A. Ho: u = 4.00 km Hu> 4.00 km O c. Ho: = 4.00 km H: #4.00 km O D. Ho: u#4.00 km H: = 4.00 km Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is v evidence to conclude that the original claim that the mean of the population of earthquake depths is 4.00 km correct.

Answer 1

The statistical software output for this problem is :

One sample T summary hypothesis test: u: Mean of population Ho :u=4 HA: #4 Hypothesis test results: Mean Sample Mean Std. Err. DF T-Stat P-value 4.87 0.2245 399 3.8752784 0.0001

Option C) is correct.

Test statistics = 3.88

P-value = 0.000

reject , sufficient , is