A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score 286. This test result prompts a state school administrator to declare that the mean score for the state's eighth grader this exam is more than 280. Assume that the population standard deviation is 38. At a = 0.05, is there enough evider 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.

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A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of
286. 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 38. At α = 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 H₂. Choose the correct answer below.
O A. Ho: ≤280 (claim)
H₂:μ>280
O D. Ho: μ≤280
Ha: μ> 280 (claim)
B. Ho: μ< 280
Ha: μ ≥280 (claim)
O E. Ho: μ ≥280 (claim)
Hg: μ <280
O C. Ho: μ = 280 (claim)
H₂:μ>280
OF. Ho: μ = 280
H₂: µ>280 (claim)
Transcribed Image Text:A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 286. 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 38. At α = 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 H₂. Choose the correct answer below. O A. Ho: ≤280 (claim) H₂:μ>280 O D. Ho: μ≤280 Ha: μ> 280 (claim) B. Ho: μ< 280 Ha: μ ≥280 (claim) O E. Ho: μ ≥280 (claim) Hg: μ <280 O C. Ho: μ = 280 (claim) H₂:μ>280 OF. Ho: μ = 280 H₂: µ>280 (claim)
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