MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A data set lists earthquake depths. The summary statistics are n=500​, x=6.36 ​km, s=4.35 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.
 
 
a. What are the null and alternative​ hypotheses?
A. H0​:μ=6.00km
    H1​:μ≠6.00km
 
B.H0​: μ≠6.00km
  H1​:μ=6.00km
 
C.H0​:μ=6.00km
   H1​:μ>6.00km
 
D.H0​:μ=6.00km
    H1​:μ<6.00km
 
 
b. Determine the test statistic.
    _______ (Round to two decimal places as​ needed.)
 
c. Determine the​ P-value.
   ______ (Round to three decimal places as​ needed.)
 
 
d.State the final conclusion that addresses the original claim.
Reject or Fail to reject H0. There is sufficient or not sufficient evidence to conclude that the mean of the population of earthquake depths is 6.00 km is not or is correct.
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