random sample of 83 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 grades on vam is more than 275. Assume that the population standard deviation is 40. At a= 0.05, 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. O A. Ho: HS275 O B. Ho: H= 275 OC. H;: u<275 Ha: u> 275 (claim) H: u> 275 (claim) Ha: u2275 (claim) O D. Ho: HS275 (claim) H:u> 275 O E. Ho: H=275 (claim) Hgi u> 275 OF. Ho: u2275 (claim) H,i p<275 (b) Find the standardized test statistic z, and its corresponding area. z= (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. O Reject Ho O Fail to reject Ho (e) Interpret your decision in the context of the original claim. At the 5% 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 more than 275. Click to select your answer(s).
random sample of 83 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 grades on vam is more than 275. Assume that the population standard deviation is 40. At a= 0.05, 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. O A. Ho: HS275 O B. Ho: H= 275 OC. H;: u<275 Ha: u> 275 (claim) H: u> 275 (claim) Ha: u2275 (claim) O D. Ho: HS275 (claim) H:u> 275 O E. Ho: H=275 (claim) Hgi u> 275 OF. Ho: u2275 (claim) H,i p<275 (b) Find the standardized test statistic z, and its corresponding area. z= (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. O Reject Ho O Fail to reject Ho (e) Interpret your decision in the context of the original claim. At the 5% 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 more than 275. Click to select your answer(s).
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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Transcribed Image Text:A random sample of 83 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
OYam is more than 275. Assume that the population standard deviation is 40. At = 0.05, 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.
O A. Ho: HS275
O B. Ho: H= 275
OC. Ho: H<275
Ha: u> 275 (claim)
H: u> 275 (claim)
H,: p2275 (claim)
O D. Ho: us275 (claim)
O E. Ho: H= 275 (claim)
H3: u> 275
OF. Ho: u2275 (claim)
H: u> 275
H:u<275
(b) Find the standardized test statistic z, and its corresponding area.
z= (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.
O Reject Ho
O Fail to reject Ho
(e) Interpret your decision in the context of the original claim.
At the 5% significance level, there
Venough evidence to
V the administrator's claim that the mean score for the state's eighth graders on the exam
more than 275.
Click to select your answer(s).
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