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random sample of 81 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 290. 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 40. At α=0.08​, 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 Ha​: μ>285 ​(claim)   C. H0​: μ≥285 ​(claim) Ha​: μ<285   D. H0​: μ≤285 Ha​: μ>285 ​(claim)   E. H0​: μ=285 ​(claim) Ha​: μ>285   F. H0​: μ≤285 ​(claim) Ha​: μ>285 ​(b) Find the standardized test statistic​ z, and its corresponding area.   z=enter your response here ​(Round to two decimal places as​ needed.) ​(c) Find the​ P-value.   ​P-value=enter your response here ​(Round to three decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null hypothesis.     Fail to reject H0   Reject H0 ​(e) Interpret your decision in the context of the original claim.   At the 8​% significance​ level, there ▼   is not is enough evidence to ▼   support reject the​ administrator's claim that the mean score for the​ state's eighth graders on the exam is more than 285.

random sample of 81 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 290. 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 40. At α=0.08​, 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 Ha​: μ>285 ​(claim)   C. H0​: μ≥285 ​(claim) Ha​: μ<285   D. H0​: μ≤285 Ha​: μ>285 ​(claim)   E. H0​: μ=285 ​(claim) Ha​: μ>285   F. H0​: μ≤285 ​(claim) Ha​: μ>285 ​(b) Find the standardized test statistic​ z, and its corresponding area.   z=enter your response here ​(Round to two decimal places as​ needed.) ​(c) Find the​ P-value.   ​P-value=enter your response here ​(Round to three decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null hypothesis.     Fail to reject H0   Reject H0 ​(e) Interpret your decision in the context of the original claim.   At the 8​% significance​ level, there ▼   is not is enough evidence to ▼   support reject the​ administrator's claim that the mean score for the​ state's eighth graders on the exam is more than 285.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A random sample of
81
eighth grade​ students' scores on a national mathematics assessment test has a mean score of
290.
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
40.
At
α=0.08​,
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
Ha​:
μ>285
​(claim)
 
C.
H0​:
μ≥285
​(claim)
Ha​:
μ<285
 
D.
H0​:
μ≤285
Ha​:
μ>285
​(claim)
 
E.
H0​:
μ=285
​(claim)
Ha​:
μ>285
 
F.
H0​:
μ≤285
​(claim)
Ha​:
μ>285
​(b) Find the standardized test statistic​ z, and its corresponding area.
 
z=enter your response here
​(Round to two decimal places as​ needed.)
​(c) Find the​ P-value.
 
​P-value=enter your response here
​(Round to three decimal places as​ needed.)
​(d) Decide whether to reject or fail to reject the null hypothesis.
 
 
Fail to reject
H0
 
Reject
H0
​(e) Interpret your decision in the context of the original claim.
 
At the
8​%
significance​ level, there
▼
 
is not
is
enough evidence to
▼
 
support
reject
the​ administrator's claim that the mean score for the​ state's eighth graders on the exam is more than
285.
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