Test the claim about the population​ mean,
μ​,
at the given level of significance using the given sample statistics. ​Claim:
μ≠6000​;
α=0.03​;
σ=371.
Sample​ statistics:
x=5700​,
n=37
Question content area bottom
Part 1
Identify the null and alternative hypotheses. Choose the correct answer below.
A.
H0​:
μ≠6000
Ha​:
μ≥6000
B.
H0​:
μ≤6000
Ha​:
μ≠6000
C.
H0​:
μ=6000
Ha​:
μ≠6000
D.
H0​:
μ≠6000
Ha​:
μ≤6000
E.
H0​:
μ≠6000
Ha​:
μ=6000
F.
H0​:
μ≥6000
Ha​:
μ≠6000
Part 2
Calculate the standardized test statistic.
The standardized test statistic is
negative 5.2−5.2.
​(Round to two decimal places as​ needed.)
Part 3
Determine the critical​ value(s). Select the correct choice below and fill in the answer box to complete your choice.
​(Round to two decimal places as​ needed.)
A.The critical value is
enter your response here.
B.The critical values are
±2.262.26.
Part 4
Determine the outcome and conclusion of the test. Choose from the following.
A.
Fail to reject
H0.
At the
3​%
significance​ level, there
is not
enough evidence to reject the claim.
B.
Fail to reject
H0.
At the
3​%
significance​ level, there
is not
enough evidence to support the claim.
C.
Reject
H0.
At the
3​%
significance​ level, there
is
enough evidence to support the claim.
D.
Reject
H0.
At the
3​%
significance​ level, there
is
enough evidence to reject the claim.