A random sample of84eighth grade students' scores on a national mathematics assessment test has a mean score of290.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 than285.Assume that the population standard deviation is36.Atα=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.Ο Α. Ho: μ = 285Ha: H > 285 (claim)Ο Β. Ho: μ< 285Hạ: H2 285 (claim)Ο C. Ho μs 285Ha:u > 285 (claim)O D. Ho: Hs 285 (claim)Ha: u> 285O E. Ho: H = 285 (claim)Hạ: µ> 285OF. Ho:u2 285 (claim)Hạ:u< 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 =O (Round to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.Fail to reject HoO Reject Ho(e) Interpret your decision in the context of the original claim.At the 7% significance level, thereenough evidence tothe administrator's claim that the mean score for the state's eighth graders onthe exam is more than 285.

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Description: A random sample of84eighth grade students' scores on a national mathematics assessment test has a mean score of290.This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is m

Given that Sample size(n) = 84 Sample mean score (x¯) = 290 Population standard deviation (σ) = 36…

Answered: school administrator to declare that…

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

eighth grade students' scores on a national mathematics assessment test has a mean score of

290.

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

285.

Assume that the population standard deviation is

36.

α=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.
Ο Α. Ho: μ = 285
Ha: H > 285 (claim)
Ο Β. Ho: μ< 285
Hạ: H2 285 (claim)
Ο C. Ho μs 285
Ha:u > 285 (claim)
O D. Ho: Hs 285 (claim)
Ha: u> 285
O E. Ho: H = 285 (claim)
Hạ: µ> 285
OF. Ho:u2 285 (claim)
Hạ:u< 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 =O (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Fail to reject Ho
O 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 285.

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