random sample of 81 eighth grade students' scores on a national mathematics assessment test has a mean score of 290. 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 285. Assume that the population standard deviation is 40. At α=0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A. H0: μ<285 Ha: μ≥285 (claim) B. H0: μ=285 Ha: μ>285 (claim) C. H0: μ≥285 (claim) Ha: μ<285 D. H0: μ≤285 Ha: μ>285 (claim) E. H0: μ=285 (claim) Ha: μ>285 F. H0: μ≤285 (claim) Ha: μ>285 (b) Find the standardized test statistic z, and its corresponding area. z=enter your response here (Round to two decimal places as needed.) (c) Find the P-value. P-value=enter your response here (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject H0 Reject H0 (e) Interpret your decision in the context of the original claim. At the 8% significance level, there ▼ is not is enough evidence to ▼ support reject the administrator's claim that the mean score for the state's eighth graders on the exam is more than 285.
random sample of 81 eighth grade students' scores on a national mathematics assessment test has a mean score of 290. 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 285. Assume that the population standard deviation is 40. At α=0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A. H0: μ<285 Ha: μ≥285 (claim) B. H0: μ=285 Ha: μ>285 (claim) C. H0: μ≥285 (claim) Ha: μ<285 D. H0: μ≤285 Ha: μ>285 (claim) E. H0: μ=285 (claim) Ha: μ>285 F. H0: μ≤285 (claim) Ha: μ>285 (b) Find the standardized test statistic z, and its corresponding area. z=enter your response here (Round to two decimal places as needed.) (c) Find the P-value. P-value=enter your response here (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject H0 Reject H0 (e) Interpret your decision in the context of the original claim. At the 8% significance level, there ▼ is not is enough evidence to ▼ support reject the administrator's claim that the mean score for the state's eighth graders on the exam is more than 285.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A random sample of
81
eighth grade students' scores on a national mathematics assessment test has a mean score of
290.
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
285.
Assume that the population standard deviation is
40.
At
α=0.08,
is there enough evidence to support the administrator's claim? Complete parts (a) through (e).(a) Write the claim mathematically and identify
H0
and
Ha.
Choose the correct answer below.H0:
μ<285
Ha:
μ≥285
(claim)H0:
μ=285
Ha:
μ>285
(claim)H0:
μ≥285
(claim)Ha:
μ<285
H0:
μ≤285
Ha:
μ>285
(claim)H0:
μ=285
(claim)Ha:
μ>285
H0:
μ≤285
(claim)Ha:
μ>285
(b) Find the standardized test statistic z, and its corresponding area.
z=enter your response here
(Round to two decimal places as needed.)(c) Find the P-value.
P-value=enter your response here
(Round to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.
Fail to reject
H0Reject
H0(e) Interpret your decision in the context of the original claim.
At the
enough evidence to
the administrator's claim that the mean score for the state's eighth graders on the exam is more than
8%
significance level, there
▼
is not
is
▼
support
reject
285.
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