​Claim: μ>1250​; α=0.09​; σ=195.37. Sample​ statistics: x=1276.64​, n=275 Identify the null and alternative hypotheses. Choose the correct answer below

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Use technology to help you test the claim about the population​ mean,
μ​,
at the given level of​ significance,
α​,
using the given sample statistics. Assume the population is normally distributed.
 
​Claim:
μ>1250​;
α=0.09​;
σ=195.37.
Sample​ statistics:
x=1276.64​,
n=275
Identify the null and alternative hypotheses. Choose the correct answer below.
 
 
A.
H0​:
μ≥1250
Ha​:
μ<1250
 
B.
H0​:
μ≤1250
Ha​:
μ>1250
 
C.
H0​:
μ>1250
Ha​:
μ≤1250
 
D.
H0​:
μ≤1276.64
Ha​:
μ>1276.64
 
E.
H0​:
μ>1276.64
Ha​:
μ≤1276.64
 
F.
H0​:
μ≥1276.64
Ha​:
μ<1276.64
Calculate the standardized test statistic.
 
The standardized test statistic is
nothing.
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
P=nothing
​(Round to three decimal places as​ needed.)
Determine the outcome and conclusion of the test.
 
 
Fail to reject
Reject
H0.
At the
9​%
significance​ level, there
 
is not
is
enough evidence to
 
support
reject
the claim.
 
Click to select your answer(s).
 
 
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