A random sample of 78 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 285. Assume that the population standard deviation is 33. At a = 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. OA. Ho: 2285 (claim) Ha: μ<285 O B. Ho: H=285 (claim) Ha: H>285 O D. Ho: ≤285 (claim) Ha: H>285 (b) Find the standardized test statistic z. 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 Fail to reject Ho Reject Ho (e) Interpret your decision in the context of the original claim. At the 9% significance level, there enough evidence to O E. Ho: ≤285 Ha: H>285 (claim) OC. Ho: H=285 Ha: μ> 285 (claim) OF. Ho: H<285 Ha: H2 285 (claim) 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 78 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 285. Assume that the population standard deviation is 33. At a = 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. OA. Ho: 2285 (claim) Ha: μ<285 O B. Ho: H=285 (claim) Ha: H>285 O D. Ho: ≤285 (claim) Ha: H>285 (b) Find the standardized test statistic z. 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 Fail to reject Ho Reject Ho (e) Interpret your decision in the context of the original claim. At the 9% significance level, there enough evidence to O E. Ho: ≤285 Ha: H>285 (claim) OC. Ho: H=285 Ha: μ> 285 (claim) OF. Ho: H<285 Ha: H2 285 (claim) 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
I need help on my homework
Transcribed Image Text:A random sample of 78 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 285. Assume that the population standard deviation is 33. At a = 0.09, is there enough evidence to support the administrator's
claim? Complete parts (a) through (e).
(a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below.
O A. Ho: 2285 (claim)
Ha: μ<285
O B. Ho: H=285 (claim)
Ha: H>285
O D. Ho: ≤285 (claim)
Ha: H>285
(b) Find the standardized test statistic z.
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 Fail to reject Ho
Reject Ho
(e) Interpret your decision in the context of the original claim.
At the 9% significance level, there
enough evidence to
O E. Ho: ≤285
Ha: H>285 (claim)
OC. Ho: H=285
Ha: μ> 285 (claim)
OF. Ho: H<285
Ha: 2285 (claim)
the administrator's claim that the mean score for the state's eighth graders on the exam is more than 285.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman