Question

A data set lists earthquake depths. The summary statistics are

nequals=400​, x overbarxequals=5.45 ​km, sequals=4.65 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.

Upper H 0H0​:

muμequals=5.00

km

Upper H 1H1​:

muμgreater than>5.00

km

B.

Upper H 0H0​:

muμequals=5.00

km

Upper H 1H1​:

muμless than<5.00

km

C.

Upper H 0H0​:

muμnot equals≠5.00

km

Upper H 1H1​:

muμequals=5.00

km

D.

Upper H 0H0​:

muμequals=5.00

km

Upper H 1H1​:

muμnot equals≠5.00

km

Answer 1

Since sample size is very large so we can use z test instead of t test.