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11. A random sample of 88 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 288. 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 280. Assume that the population standard deviation is 36. At α=0.09​, 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≤280 Ha​: μ>280 ​(claim) Your answer is correct.   B. H0​: μ=280 Ha​: μ>280 ​(claim)   C. H0​: μ=280 ​(claim) Ha​: μ>280   D. H0​: μ<280 Ha​: μ≥280 ​(claim)   E. H0​: μ≥280 ​(claim) Ha​: μ<280   F. H0​: μ≤280 ​(claim) Ha​: μ>280 ​(b) Find the standardized test statistic​ z, and its corresponding area.   z=2.082.08 ​(Round to two decimal places as​ needed.) ​(c) Find the​ P-value.   ​P-value=0.0190.019 ​(Round to three decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null hypothesis.     Fail to reject

11. A random sample of 88 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 288. 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 280. Assume that the population standard deviation is 36. At α=0.09​, 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≤280 Ha​: μ>280 ​(claim) Your answer is correct.   B. H0​: μ=280 Ha​: μ>280 ​(claim)   C. H0​: μ=280 ​(claim) Ha​: μ>280   D. H0​: μ<280 Ha​: μ≥280 ​(claim)   E. H0​: μ≥280 ​(claim) Ha​: μ<280   F. H0​: μ≤280 ​(claim) Ha​: μ>280 ​(b) Find the standardized test statistic​ z, and its corresponding area.   z=2.082.08 ​(Round to two decimal places as​ needed.) ​(c) Find the​ P-value.   ​P-value=0.0190.019 ​(Round to three decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null hypothesis.     Fail to reject

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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11.

A random sample of
88
eighth grade​ students' scores on a national mathematics assessment test has a mean score of
288.
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
280.
Assume that the population standard deviation is
36.
At
α=0.09​,
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≤280
Ha​:
μ>280
​(claim)
Your answer is correct.
 
B.
H0​:
μ=280
Ha​:
μ>280
​(claim)
 
C.
H0​:
μ=280
​(claim)
Ha​:
μ>280
 
D.
H0​:
μ<280
Ha​:
μ≥280
​(claim)
 
E.
H0​:
μ≥280
​(claim)
Ha​:
μ<280
 
F.
H0​:
μ≤280
​(claim)
Ha​:
μ>280
​(b) Find the standardized test statistic​ z, and its corresponding area.
 
z=2.082.08
​(Round to two decimal places as​ needed.)
​(c) Find the​ P-value.
 
​P-value=0.0190.019
​(Round to three decimal places as​ needed.)
​(d) Decide whether to reject or fail to reject the null hypothesis.
 
 
Fail to reject
H0
 
Reject
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