Question

# A data set lists earthquake depths. The summary statistics are n equals 400​, x over bar...

A data set lists earthquake depths. The summary statistics are n equals 400​, x over bar equals 6.48 ​km, s equals 4.83 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. What are the null and alternative​ hypotheses? A. Upper H 0​: mu equals 6.00 km Upper H 1​: mu less than 6.00 km B. Upper H 0​: muequals6.00 km Upper H 1​: mu greater than 6.00 km C. Upper H 0​: mu does not equal 6.00 km Upper H 1​: mu equals 6.00 km D. Upper H 0​: mu equals 6.00 km Upper H 1​: mu does not equals 6.00 km Determine the test statistic. nothing ​(Round to two decimal places as​ needed.) Determine the​ P-value. nothing ​(Round to three decimal places as​ needed.) State the final conclusion that addresses the original claim. ▼ Reject Fail to reject Upper H 0. There is ▼ sufficient not sufficient evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km ▼ correct.