eighth grade​ students' scores on a national mathematics assessment test has a mean score of 293. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 31. At α=0.03​, is there enough evidence

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Author:Amos Gilat
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A random sample of
87
eighth grade​ students' scores on a national mathematics assessment test has a mean score of
293.
This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this exam is more than
285.
Assume that the population standard deviation is
31.
At
α=0.03​,
is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e).
​(a) Write the claim mathematically and identify
H0
and
Ha.
Choose the correct answer below.
 
 
A.
H0​:
μ<285
Ha​:
μ≥285
​(claim)
 
B.
H0​:
μ=285
​(claim)
Ha​:
μ>285
 
C.
H0​:
μ≤285
Ha​:
μ>285
​(claim)
 
D.
H0​:
μ=285
Ha​:
μ>285
​(claim)
 
E.
H0​:
μ≥285
​(claim)
Ha​:
μ<285
 
F.
H0​:
μ≤285
​(claim)
Ha​:
μ>285
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