A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 278. This test result prompts a state school administrator to declare that the mean sco the state's eighth graders on this exam is more than 275. Assume that the population standard deviation is 33. 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 Họ and Hg. Choose the correct answer below. O A. Ho: u2275 (claim) HaiH<275 O B. Ho: H<275 H,i u2 275 (claim) O C. H μ 275 Hiu> 275 (claim) O D. Ho: Hs275 (claim) Hai> 275 E. Ηg μ 275 (caim) Hai u> 275 OF. Ho: Hs275 Hai u> 275 (claim) (b) Find the P-value. P-value =O (Round to three decimal places as needed.) %3D (c) Decide whether to reject or fail to reject the null hypothesis. O Reject H, O Fail to roject H, (e) Interpret your decision in the context of the original claim. At the 3% 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.
A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 278. This test result prompts a state school administrator to declare that the mean sco the state's eighth graders on this exam is more than 275. Assume that the population standard deviation is 33. 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 Họ and Hg. Choose the correct answer below. O A. Ho: u2275 (claim) HaiH<275 O B. Ho: H<275 H,i u2 275 (claim) O C. H μ 275 Hiu> 275 (claim) O D. Ho: Hs275 (claim) Hai> 275 E. Ηg μ 275 (caim) Hai u> 275 OF. Ho: Hs275 Hai u> 275 (claim) (b) Find the P-value. P-value =O (Round to three decimal places as needed.) %3D (c) Decide whether to reject or fail to reject the null hypothesis. O Reject H, O Fail to roject H, (e) Interpret your decision in the context of the original claim. At the 3% 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 278. 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 33. 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 Ho and Hg. Choose the correct answer below.
OC. Hg: u= 275
O A. Ho: µ2275 (claim)
HgiH<275
O D. Ho: us 275 (claim)
Ha:H>275
O B. Ho:H<275
H:u2 275 (claim)
H: u> 275 (claim)
OE. H,: µ= 275 (claim)
OF. H: us 275
Hạ: p> 275
Hạ: µ> 275 (claim)
(b) Find the P.value.
P-value = (Roundt
three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Reject H,
O Fail to reject Ho
(e) Interpret your decision in the context of the original claim.
At the 3% significance level, there
V enough evidence to
V 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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