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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC.

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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