A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 276. 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 270. Assume that the population standard deviatic is 40. At a = 0.13, 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. O A. Ho: H=270 Ha:> 270 (claim) OB. Ho us270 (claim) Ha >270 OC. Ho u2270 (claim) H µ<270 ΟΕ H μ < 270 Ha 2270 (claim) ΥΕ H . μ<270 O D. Ho: = 270 (claim) H u> 270 Ha: µ> 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.)

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Arandom sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 276. 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 270. Assume that the population standard deviatio
is 40. At a= 0.13, 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.
DA. Ho p=270
Hap>270 (claim)
OB. Ho ps270 (claim)
H3 p> 270
OC Ho p2270 (claim)
Ha p<270
al
YE. Ho s270
DO. Ho p=270 (claim)
Ha H> 270
NOF Ho A<270
H p2270 (claim)
Ha
>270 (claim)
(b) Find the standardized test statistic z, and its corresponding area.
Round to two decimal places as needed.)
R..
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Transcribed Image Text:彩 Arandom sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 276. 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 270. Assume that the population standard deviatio is 40. At a= 0.13, 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. DA. Ho p=270 Hap>270 (claim) OB. Ho ps270 (claim) H3 p> 270 OC Ho p2270 (claim) Ha p<270 al YE. Ho s270 DO. Ho p=270 (claim) Ha H> 270 NOF Ho A<270 H p2270 (claim) Ha >270 (claim) (b) Find the standardized test statistic z, and its corresponding area. Round to two decimal places as needed.) R.. Insta... PDF 2021 dents.pdf Dep Enter your answer in the answer box and then click Check Answer. Check Answer 3 parts remaining Clear All Riley LAMA
Expert Solution
Step 1

Given information:

Random sample of eighth grade students n=90

Mean score of students X¯=276

Population standard deviation σ=40

Significance level α=0.13

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