A random sample of 77 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 282. 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 275. Assume that the population standard deviation is 32. At α=0.14​, is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e). ​(a) Write the claim mathematically and identify H0

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A random sample of
77
eighth grade​ students' scores on a national mathematics assessment test has a mean score of
282.
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
275.
Assume that the population standard deviation is
32.
At
α=0.14​,
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=275
​(claim)
Ha​:
μ>275
 
B.
H0​:
μ≤275
​(claim)
Ha​:
μ>275
 
C.
H0​:
μ<275
Ha​:
μ≥275
​(claim)
 
D.
H0​:
μ=275
Ha​:
μ>275
​(claim)
 
E.
H0​:
μ≥275
​(claim)
Ha​:
μ<275
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