A data set lists earthquake depths. The summary statistics are n=600​, x=6.67 ​km, s=4.62 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.       What are the null and alternative​ hypotheses?     A. H0​: μ=6.00 km H1​: μ>6.00 km   B. H0​: μ≠6.00 km H1​: μ=6.00 km   C. H0​: μ=6.00 km H1​: μ≠6.00 km   D. H0​: μ=6.00 km H1​: μ<6.00 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. (Reject/Fail to reject) H0 There is (not sufficient/sufficient) evidence to conclude that the mean of the population of ratings is (is not/ is)

MATLAB: An Introduction with Applications
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A data set lists earthquake depths. The summary statistics are
n=600​,
x=6.67
​km,
s=4.62
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.
 
 
 
What are the null and alternative​ hypotheses?
 
 
A.
H0​:
μ=6.00
km
H1​:
μ>6.00
km
 
B.
H0​:
μ≠6.00
km
H1​:
μ=6.00
km
 
C.
H0​:
μ=6.00
km
H1​:
μ≠6.00
km
 
D.
H0​:
μ=6.00
km
H1​:
μ<6.00
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.

(Reject/Fail to reject) H0 There is (not sufficient/sufficient) evidence to conclude that the mean of the population of ratings is (is not/ is)

 
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