A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. This test resultprompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 275. Assumethat the population standard deviation is 32. At a=0.12, 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 B.Ho: μ=275 (claim)Ha: µ>275OA. Ho: μ<275H₂:μ ≥ 275 (claim)O D. Ho: μ=275Ha: μ> 275 (claim)O E. Ho: μ²275 (claim)Ha: μ<275(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.Fail to reject HoReject Ho(e) Interpret your decision in the context of the original claim.enough evidence toAt the 12% significance level, theregraders on the exam is more than 275.O C. Ho: μ≤275 (claim)H₂:μ>275OF. Ho: μ$275Ha: μ> 275 (claim)the administrator's claim that the mean score for the state's eighth

From the provided information, Population standard deviation (σ) = 32 Sample mean (x̄) = 281 Sample…

Answered: A random sample of 75 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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part b please
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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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