(d) Decide whether to reject or fail to reject the null hypothesis.O Fail to reject H,O Reject H,(e) Interpret your decision in the context of the original claim.At the 14% significance level, thereenough evidence toV the administrator's claimthat the mean score for the state's eighth graders on the exam is more than 285. Arandom sample of 85 eighth grade students' scores on a national mathematics assessment test has amean score of 294. This test result prompts a state school administrator to declare that the mean scorefor the state's eighth graders on this exam is more than 285. Assume that the population standarddeviation is 31. Al a= 0.14, is there enough evidence to support the administrator's claim? Completeparts (a) through (e).(a) Write the claim mathematically and identify H, and H, Choose the correct answer below.O A. H, pa285 (claim)H p< 285O B. H, u=285 (claim)H p> 285O C. H, p<285H: p2 285 (claim)OD. H, us285H p> 285 (claim)E. H, µ= 285H, p> 285 (claim)OF. H, ps285 (claim)H p> 285(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.)

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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 hospital president claims that the average Salary of registered nurses at her hospital is more than $57,000. You test this claim by surveying 37 registered nurses at this hospital and find they have a mean salary of $57,425. Assume the population standard deviation is $1750 at the 0.10 level of significance is there enough evidence to support the claim of the hospital president?
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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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