) A data set lists earthquake depths. The summary statistics are n=400, x=5.39 km, s=4.11 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. 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. H0: μ=5.00 km H1: μ<5.00 km B. H0: μ≠5.00 km H1: μ=5.00 km C. H0: μ=5.00 km H1: μ≠5.00 km D. H0: μ=5.00 km H1: μ>5.00 km 2) Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) 3) State the final conclusion that addresses the original claim. (OPTION 1-Reject, OPTION 2- Fail to reject) H0. There is (OPTION 1-sufficient, OPTION 2-not sufficient) evidence to conclude that the mean of the population of earthquake depths is 6.00 km (OPTION 1- is, OPTION 2-is not) correct.
1)
A data set lists earthquake depths. The summary statistics are n=400, x=5.39 km,
s=4.11 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. 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.
H0: μ=5.00 km
H1: μ<5.00 km
B.
H0: μ≠5.00 km
H1: μ=5.00 km
C.
H0: μ=5.00 km
H1: μ≠5.00 km
D.
H0: μ=5.00 km
H1: μ>5.00 km
2)
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
3)
State the final conclusion that addresses the original claim.
(OPTION 1-Reject, OPTION 2- Fail to reject) H0. There is (OPTION 1-sufficient, OPTION 2-not sufficient) evidence to conclude that the mean of the population of earthquake depths is 6.00 km (OPTION 1- is, OPTION 2-is not) correct.
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