(a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. OA. Ho: ≤270 Ha: H>270 (claim) O D. Ho: μ2270 (claim) H₂: μ<270 (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. OB. Ho: ≤270 (claim) Ha: H>270 O E. Ho: H=270 (claim) H₂: H>270 OC. Ho: H<270 Ha: μ ≥ 270 (claim) OF. Ho: H=270 H₂: H>270 (claim)
(a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. OA. Ho: ≤270 Ha: H>270 (claim) O D. Ho: μ2270 (claim) H₂: μ<270 (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. OB. Ho: ≤270 (claim) Ha: H>270 O E. Ho: H=270 (claim) H₂: H>270 OC. Ho: H<270 Ha: μ ≥ 270 (claim) OF. Ho: H=270 H₂: H>270 (claim)
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 87 eighth grade students' scores on a national mathematics assessment test has a mean score of 277. 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 deviation is 37. At α = 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
(a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below.
A. Ho: μ≤270
Ha: μ>270 (claim)
D. Ho: μ ≥270 (claim)
Ha: μ<270
(b) Find the standardized test statistic z, and its corresponding area.
(Round to two decimal places as needed.)
Z=
(c) Find the P-value.
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
P-value=
Fail to reject Ho
Reject Ho
(e) Interpret your decision in the context of the original claim.
At the 9% significance level, there
enough evidence to
B. Ho: μ≤270 (claim)
Ha: μ> 270
E. Ho: μ = 270 (claim)
Ha: μ> 270
O C. Ho: μ<270
Ha: μ ≥270 (claim)
OF. Ho: μ = 270
Ha: μ> 270 (claim)
the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270.
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