A data set lists earthquake depths. The summary statistics are n=600​, x=6.35 ​km, s=4.48 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section: Chapter Questions
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A data set lists earthquake depths. The summary statistics are
n=600​,
x=6.35
​km,
s=4.48
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.
 
nothing
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
nothing
​(Round to three decimal places as​ needed.)
 
State the final conclusion that addresses the original claim.
 
 
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