A random sample of 79 eighth grade students' scores on a national mathematics assessment test has a mean score of 263. 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 260. Assume that the population standard deviation is 34. 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. Ο Α. H : με 260 (claim) H:u< 260 O B. Ho: us260 (claim) H:p> 260 OC. Ho: = 260 (claim) H:u> 260 O E. Ho: us260 O D . H : μ 260 Ha:> 260 (claim) ΟΕ Hρ: μ< 260 H:u2 260 (claim) H:u> 260 (claim) (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 reject or fail to reject the null hypothesis. O Fail to reject Ho O 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 is more than 260.
A random sample of 79 eighth grade students' scores on a national mathematics assessment test has a mean score of 263. 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 260. Assume that the population standard deviation is 34. 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. Ο Α. H : με 260 (claim) H:u< 260 O B. Ho: us260 (claim) H:p> 260 OC. Ho: = 260 (claim) H:u> 260 O E. Ho: us260 O D . H : μ 260 Ha:> 260 (claim) ΟΕ Hρ: μ< 260 H:u2 260 (claim) H:u> 260 (claim) (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 reject or fail to reject the null hypothesis. O Fail to reject Ho O 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 is more than 260.
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 79 eighth grade students' scores on a national mathematics assessment test has a mean score of 263. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this
exam
s more than 260. Assume that the population standard deviation is 34. 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.
OC. Ho: H= 260 (claim)
Ο Α. H με 260 (claim)
Ha: H< 260
O B. Ho: us 260 (claim)
Ha: u> 260
Ha: u> 260
O E. Ho: us 260
Ha: u> 260 (claim)
OF. Ho: H< 260
Ha: µ2 260 (claim)
O D. Ho: H = 260
Ha: H> 260 (claim)
(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.
Fail to reject Ho
O Reject Ho
(e) Interpret your decision in the context of the original claim.
At the 5% 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 260.
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