A data set lists earthquake depths. The summary statistics are nequals=400400, x overbarxequals=6.866.86 km, sequals=4.374.37 km. Use a 0.010.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.006.00. 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 0H0: muμequals=5.005.00 km Upper H 1H1: muμnot equals≠5.005.00 km B. Upper H 0H0: muμnot equals≠5.005.00 km Upper H 1H1: muμequals=5.005.00 km C. Upper H 0H0: muμequals=5.005.00 km Upper H 1H1: muμgreater than>5.005.00 km D. Upper H 0H0: muμequals=5.005.00 km Upper H 1H1: muμless than<5.005.00 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. Fail to reject Upper H 0H0. There is evidence to conclude that the original claim that the mean of the population of earthquake depths is 5.005.00 km

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

nequals=400400,

x overbarxequals=6.866.86

km,

sequals=4.374.37

km. Use a

0.010.01

significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to

6.006.00.

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?

Upper H 0H0:

muμequals=5.005.00

Upper H 1H1:

muμnot equals≠5.005.00

Upper H 0H0:

muμnot equals≠5.005.00

Upper H 1H1:

muμequals=5.005.00

Upper H 0H0:

muμequals=5.005.00

Upper H 1H1:

muμgreater than>5.005.00

Upper H 0H0:

muμequals=5.005.00

Upper H 1H1:

muμless than<5.005.00

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.

Fail to reject

Upper H 0H0.

There is

evidence to conclude that the original claim that the mean of the population of earthquake depths is

5.005.00

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