A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 270. Assume that the population standard deviation is 33. At a = 0.14, 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. A. Ho: Hs270 Ha: H> 270 (claim) Ο Β. Ho μ< 270 Ha: H2 270 (claim) O C. Ho: us270 (claim) Ha: u> 270 O D. Ho: H= 270 (claim) Ο F Ho :μ2 270 (claim) Ο Ε. Ho:μ = 270 Ha: µ> 270 (claim) Ha: p>270 Ha: p<270 (b) Find the standardized test statistic z, and its corresponding area. z= 1.36 (Round to two decimal places as needed.) (c) Find the P-value. P-value = 0.087 (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 O O
A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 270. Assume that the population standard deviation is 33. At a = 0.14, 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. A. Ho: Hs270 Ha: H> 270 (claim) Ο Β. Ho μ< 270 Ha: H2 270 (claim) O C. Ho: us270 (claim) Ha: u> 270 O D. Ho: H= 270 (claim) Ο F Ho :μ2 270 (claim) Ο Ε. Ho:μ = 270 Ha: µ> 270 (claim) Ha: p>270 Ha: p<270 (b) Find the standardized test statistic z, and its corresponding area. z= 1.36 (Round to two decimal places as needed.) (c) Find the P-value. P-value = 0.087 (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 O O
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
Related questions
Question
![A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 270. Assume that the population standard deviation is 33. At
a = 0.14, 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.
A. Ho: uS 270
Hg:u> 270 (claim)
Ο Β. H : μ< 270
Ha: H2 270 (claim)
O C. Ho: HS270 (claim)
Ha:u>270
Ο FΕ H :μ2 270 (claim)
Ha:p<270
O D. Ho: H= 270 (claim)
Ο Ε H : μ= 270
Ha:µ> 270 (claim)
Hai H> 270
(b) Find the standardized test statistic z, and its corresponding area.
z= 1.36 (Round to two decimal places as needed.)
(c) Find the P-value.
P-value = 0.087 (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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa96a98bc-5919-425a-951b-d39bb06d1512%2Fcf404c95-a883-4c62-b016-45246cf70c52%2Fw038zl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 270. Assume that the population standard deviation is 33. At
a = 0.14, 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.
A. Ho: uS 270
Hg:u> 270 (claim)
Ο Β. H : μ< 270
Ha: H2 270 (claim)
O C. Ho: HS270 (claim)
Ha:u>270
Ο FΕ H :μ2 270 (claim)
Ha:p<270
O D. Ho: H= 270 (claim)
Ο Ε H : μ= 270
Ha:µ> 270 (claim)
Hai H> 270
(b) Find the standardized test statistic z, and its corresponding area.
z= 1.36 (Round to two decimal places as needed.)
(c) Find the P-value.
P-value = 0.087 (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
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