A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. 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 280. Assume that the population standard deviation is 36. 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 Ho and H₂. Choose the correct answer below. OA. Ho: μ= 280 (claim) H₂:μ> 280 OD. Ho: μ≤280 Ha: μ> 280 (claim) OB. Ho: μ = 280 Ha: μ>280 (claim) O E. Ho: ≤280 (claim) H₂:μ>280 OC. Ho: ≥280 (claim) H₂:μ< 280 OF. Ho: <280 Ha: μ ≥280 (claim)

MATLAB: An Introduction with Applications
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A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. 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 280. Assume that the population
standard deviation is 36. 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 H. and Ha. Choose the correct answer below.
A. Ho: μ = 280 (claim)
H₂:μ> 280
D. Ho: μ≤280
Ha: μ> 280 (claim)
B. Ho: μ = 280
Ha: μ> 280 (claim)
E. Ho: μ≤280 (claim)
Ha:μ>280
C. Ho:μ ≥280 (claim)
Hg: μ < 280
F. Ho: μ< 280
H₂:μ ≥280 (claim)
Transcribed Image Text:A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. 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 280. Assume that the population standard deviation is 36. 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 H. and Ha. Choose the correct answer below. A. Ho: μ = 280 (claim) H₂:μ> 280 D. Ho: μ≤280 Ha: μ> 280 (claim) B. Ho: μ = 280 Ha: μ> 280 (claim) E. Ho: μ≤280 (claim) Ha:μ>280 C. Ho:μ ≥280 (claim) Hg: μ < 280 F. Ho: μ< 280 H₂:μ ≥280 (claim)
Test the claim about the population mean µ at the level of significance a. Assume the population is normally distributed.
Claim: μ<4915; α = 0.02 Sample statistics: x= 5017, s=5613, n = 54
What are the null and alternative hypotheses?
Ho:
Ha:
(Type integers or decimals. Do not round.)
Transcribed Image Text:Test the claim about the population mean µ at the level of significance a. Assume the population is normally distributed. Claim: μ<4915; α = 0.02 Sample statistics: x= 5017, s=5613, n = 54 What are the null and alternative hypotheses? Ho: Ha: (Type integers or decimals. Do not round.)
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