A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 265. 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 260. Assume that the population standard deviation is 31. At a = 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. OA. Ho: <260 OB. Ho: ≤260 (claim) Ha: μ> 260 OC. Ho: 2260 (claim) H₂:μ< 260 Ha: 2260 (claim) OD. Ho: H=260 E. Ho: ≤260 OF. Ho: H=260 (claim) H₂:μ>260 Ha: > 260 (claim) Ha: μ> 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. z = (Round to two decimal places as needed.)

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A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 265. 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 260. Assume that the population standard deviation is 31. At a = 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.
A. Ho: μ< 260
Ha: μ ≥260 (claim)
B. Ho: μ≤260 (claim)
Ha:μ>260
Ho: μ ≥260 (claim)
Ha: μ< 260
D. Ho: μ = 260
E. Ho: μ≤260
Ha: μ> 260 (claim)
Ha: μ> 260 (claim)
F. Ho: μ = 260 (claim)
H₂:μ> 260
(b) Find the standardized test statistic z, and its corresponding area.
Z= (Round to two decimal places as needed.)
Transcribed Image Text:A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 265. 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 260. Assume that the population standard deviation is 31. At a = 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. A. Ho: μ< 260 Ha: μ ≥260 (claim) B. Ho: μ≤260 (claim) Ha:μ>260 Ho: μ ≥260 (claim) Ha: μ< 260 D. Ho: μ = 260 E. Ho: μ≤260 Ha: μ> 260 (claim) Ha: μ> 260 (claim) F. Ho: μ = 260 (claim) H₂:μ> 260 (b) Find the standardized test statistic z, and its corresponding area. Z= (Round to two decimal places as needed.)
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