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 D. Ho: μ≤280 Ha: μ> 280 (claim) OB. Ho: μ = 280 H₂: >280 (claim) O E. Ho: μ≤280 (claim) H₂:μ>280 (b) Find the standardized test statistic z. z = 2.11 (Round to two decimal places as needed.) (c) Find the P-value. P-value= (Round to three decimal places as needed.) OC. Ho: ≥280 (claim) H₂: <280 F. Ho: <280 H₂:μ ≥280 (claim)

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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 Ho and H₂. Choose the correct answer below.
A. Ho: μ = 280 (claim)
Ha:μ>280
Ho:μ≤280
Ha: μ> 280 (claim)
B. Ho: μ = 280
P-value =
(b) Find the standardized test statistic z.
z = 2.11 (Round to two decimal places as needed.)
(c) Find the P-value.
E. Ho: μ≤280 (claim)
Ha:μ>280
Ha: μ> 280 (claim)
(Round to three decimal places as needed.)
C. Ho: μ ≥280 (claim)
Ha: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 Ho and H₂. Choose the correct answer below. A. Ho: μ = 280 (claim) Ha:μ>280 Ho:μ≤280 Ha: μ> 280 (claim) B. Ho: μ = 280 P-value = (b) Find the standardized test statistic z. z = 2.11 (Round to two decimal places as needed.) (c) Find the P-value. E. Ho: μ≤280 (claim) Ha:μ>280 Ha: μ> 280 (claim) (Round to three decimal places as needed.) C. Ho: μ ≥280 (claim) Ha:μ< 280 F. Ho: μ< 280 H₂:μ ≥280 (claim)
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