A random sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 287. 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 39. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. OC. Ho: us 285 O A. Ho: u= 285 Ha u> 285 (claim) О В. Но: и 285 (claim) Hau> 285 Ha > 285 (claim) O E. Ho u< 285 OF. Ho u2 285 (claim) OD. Ho: us285 (claim) на и» 285 Hu2 285 (claim) Hau< 285 (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject Ho O Fail to reject Ho (e) Interpret your decision in the context of the original claim. At the 3% significance level, there V enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 285.
A random sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 287. 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 39. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. OC. Ho: us 285 O A. Ho: u= 285 Ha u> 285 (claim) О В. Но: и 285 (claim) Hau> 285 Ha > 285 (claim) O E. Ho u< 285 OF. Ho u2 285 (claim) OD. Ho: us285 (claim) на и» 285 Hu2 285 (claim) Hau< 285 (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject Ho O Fail to reject Ho (e) Interpret your decision in the context of the original claim. At the 3% significance level, there V enough evidence to V 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A random sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 287. 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 39. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
(a) Write the claim mathematically and identify H, and Ha. Choose the correct answer below.
OC. Ho: µs285
O A. Ho: µ= 285
Ha: µ> 285 (claim)
O B. Ho: H= 285 (claim)
Ha: u> 285
Ha: u> 285 (claim)
Ο Ε. Η : μ< 285
O F. Ho: µ2 285 (claim)
Ο D. H. με 285 (claim)
Ha: u> 285
Ha: u2 285 (claim)
Ha: µ< 285
(b) Find the standardized test statistic z, and its corresponding area.
(Round to two decimal places as needed.)
(c) Find the P-value.
P-value =
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Reject Ho
Fail to reject Ho
(e) Interpret your decision in the context of the original claim.
At the 3% significance level, there
V enough evidence to
the administrator's claim that the mean score for the state's eighth graders on the exam is more than 285.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6dc24711-6691-4c65-97e8-141d4433fc19%2F70f11ab8-bf5a-468a-a50f-e27784339dc9%2F1kylt7v_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 287. 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 39. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
(a) Write the claim mathematically and identify H, and Ha. Choose the correct answer below.
OC. Ho: µs285
O A. Ho: µ= 285
Ha: µ> 285 (claim)
O B. Ho: H= 285 (claim)
Ha: u> 285
Ha: u> 285 (claim)
Ο Ε. Η : μ< 285
O F. Ho: µ2 285 (claim)
Ο D. H. με 285 (claim)
Ha: u> 285
Ha: u2 285 (claim)
Ha: µ< 285
(b) Find the standardized test statistic z, and its corresponding area.
(Round to two decimal places as needed.)
(c) Find the P-value.
P-value =
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Reject Ho
Fail to reject Ho
(e) Interpret your decision in the context of the original claim.
At the 3% significance level, there
V enough evidence to
the administrator's claim that the mean score for the state's eighth graders on the exam is more than 285.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman