A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on thisexam is more than 270. Assume that the population standard deviation is 38. 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 H. Choose the correct answer below.ΟΑ Hρ μ= 270O B. Ho: µ2270 (claim)OC. Ho: us270H: u> 270 (claim)H:u<270H: u> 270 (claim)O D. Ho: μ< 270O E. Ho: us270 (claim)OF. Ho: u=270 (claim)H:u> 270Ha: p2270 (claim)H: u>270(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 whetherreject or fail to reject the null hypothesisO Reject HoO Fail to reject Ho(e) Interpret your decision in the context of the original claimAt the 7% significance level, thereV enough evidence toV 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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Answered: A random sample of 76 eighth grade…

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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A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. 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 275. Assume that the population standard deviation is 40. 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. ' O A. Ho: µs 275 Hai H> 275 (claim) B. H0: μ 275 c. Ho: μ 275 Ο Ε. Ho: μ = 275 Ha: µ> 275 (claim) OF H : μ2 275 (claim) Ha: µ<275
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