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 Your answer is not correct.   C. H0​: μ<275 Ha​: μ≥275 ​(claim)   D. H0​: μ=275 Ha​: μ>275 ​(claim)   E. H0​: μ≥275 ​(claim) Ha​: μ<275   F. H0​: μ≤275 Ha​: μ>275 ​(claim) This is the correct answer. ​(b) Find the standardized test statistic​ z, and its corresponding area.   z=nothing ​(Round to two decimal places as​ needed.)   Enter your answer in the answer box and then click Check Answer.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
Your answer is not correct.
 
C.
H0​:
μ<275
Ha​:
μ≥275
​(claim)
 
D.
H0​:
μ=275
Ha​:
μ>275
​(claim)
 
E.
H0​:
μ≥275
​(claim)
Ha​:
μ<275
 
F.
H0​:
μ≤275
Ha​:
μ>275
​(claim)
This is the correct answer.
​(b) Find the standardized test statistic​ z, and its corresponding area.
 
z=nothing
​(Round to two decimal places as​ needed.)
 
Enter your answer in the answer box and then click Check Answer.
 
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parts remaining
 
 
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