A random sample of 81 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 34. At a = 0.07, 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. O A. Ho: u= 270 (claim) HiH>270 O B. Ho: u2 270 (claim) H:u<270 OC. Ho: us270 (claim) H: u> 270 O D. Ho: u<270 Ha:u2 270 (claim) Ο Ε. H ,: με 270 OF Hρ; μ5 270 Haiu> 270 (claim) H:u> 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. z=O (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 O Reject Ho (e) Interpret your decision in the context of the original claim. At the 7% 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 270.
A random sample of 81 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 34. At a = 0.07, 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. O A. Ho: u= 270 (claim) HiH>270 O B. Ho: u2 270 (claim) H:u<270 OC. Ho: us270 (claim) H: u> 270 O D. Ho: u<270 Ha:u2 270 (claim) Ο Ε. H ,: με 270 OF Hρ; μ5 270 Haiu> 270 (claim) H:u> 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. z=O (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 O Reject Ho (e) Interpret your decision in the context of the original claim. At the 7% 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 270.
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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Transcribed Image Text:A random sample of 81 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 34. At a = 0.07, 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.
C. Ho: µs270 (claim)
Ha: µ> 270
A. Ho: µ= 270 (claim)
B. Ho: µ2 270 (claim)
Ha: H<270
%3D
Hai µ> 270
O D. Ho: µ<270
Ha: H2 270 (claim)
O E. Ho: µ= 270
Ha: µ> 270 (claim)
F. Ho: µs 270
Hạ: µ> 270 (claim)
(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.
Fail to reject Ho
Reject Ho
(e) Interpret your decision in the context of the original claim.
At the 7% significance level, there
enough evidence to
the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270.
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