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 kmH1: μ<5.00 kmB.H0: μ≠5.00 kmH1: μ=5.00 kmC.H0: μ=5.00 kmH1: μ≠5.00 kmD.H0: μ=5.00 kmH1: 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.

We have given that Sample size n= 400 ,xbar = 5.39 , mu=5.00 s= 4.11 , level of significance…

Answered: ) A data set lists earthquake depths.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?

H0: μ=5.00 km

H1: μ<5.00 km

H0: μ≠5.00 km

H1: μ=5.00 km

H0: μ=5.00 km

H1: μ≠5.00 km

H0: μ=5.00 km

H1: μ>5.00 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.

(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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