A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. 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 30. At α=0.02, 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.A. Ho: µ= 275 (claim)Hai µ> 275B. H : μ 275Ha: u> 275 (claim)O C. Ho: µ2275 (claim)Ha: H<275E. Ho: μ= 275Ha: µ> 275 (claim)Ο F H μ< 275Ha: µ2 275 (claim)D. H0: με 275 (claim)Ha: µ> 275(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.Reject HoFail to reject Ho(e) Interpret your decision in the context of the original claim.At the 2% significance level, thereenough evidence tothe administrator's claim that the mean score for the state's eighth graders on theexam is more than 275.

Name: A random sample of 85 eighth grade students' scores on a national mat
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Description: A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam

Answer: Given, n=85 μ=275 x=284 σ=30 (a) Option E. H0:μ=275 VS HA:μ>275(claim)

Answered: A random sample of 85 eighth grade…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. 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 30. At α=0.02, 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.
A. Ho: µ= 275 (claim)
Hai µ> 275
B. H : μ 275
Ha: u> 275 (claim)
O C. Ho: µ2275 (claim)
Ha: H<275
E. Ho: μ= 275
Ha: µ> 275 (claim)
Ο F H μ< 275
Ha: µ2 275 (claim)
D. H0: με 275 (claim)
Ha: µ> 275
(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.
Reject Ho
Fail to reject Ho
(e) Interpret your decision in the context of the original claim.
At the 2% 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 275.

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