A data set lists earthquake depths. The summary statistics are n=600​, x=5.37 ​km, s=4.58 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a...




A data set lists earthquake depths. The summary statistics are
n=600​,

x=5.37

​km,
s=4.58

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

km


H1​:

μ<>

km






B.



H0​:

μ=5.00

km


H1​:

μ>5.00

km






C.



H0​:

μ≠5.00

km


H1​:

μ=5.00

km






D.



H0​:

μ=5.00

km


H1​:

μ≠5.00

km






Determine the test statistic.



nothing

​(Round to two decimal places as​ needed.)


Identify the range of values​ for​ P-value.​ (You will not enter​ it​ here; you will use it to make your​ decsion​ below.)


State the final conclusion that addresses the original claim.








Fail to reject

Reject




H0.

There is





sufficient

not sufficient




evidence to conclude that the original claim that the mean of the population of earthquake depths is
5.00

km





is not

is




correct.




Jun 06, 2022
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