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A data set lists earthquake depths. The summary statistics are nequals=400​, x overbarxequals=6.82 ​km, sequals=4.43 km....

A data set lists earthquake depths. The summary statistics are

nequals=400​, x overbarxequals=6.82

​km, sequals=4.43 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.

Upper H 0H0​:

muμequals=6.00km

Upper H 1H1​:

muμless than<6.00

km

B.

Upper H 0H0​:

muμequals=6.00

km

Upper H 1H1​:

muμgreater than>6.00

km

C.

Upper H 0H0​:

muμequals=6.00

km

Upper H 1H1​:

muμnot equals≠6.00

km

D.

Upper H 0H0​:

muμnot equals≠6.00

km

Upper H 1H1​:

muμequals=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.)

math   Statistics-And-Probability   
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Homework Answers

Answer #1

The statistical software output for this problem is :

Hypothesis : Option C


Test statistics = 3.70

P-value = 0.0002 = 0.000

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