A random sample of 83 eighth grade students' scores on a national mathematics assessment test has a mean score of 263. 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 = 0.04, 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. B. Ho: μ< 260 OA. Ho: p2260 (claim) Hg: με 260 OD. Ho: H=260 H₂:μ> 260 (claim) z= H₂:μ ≥ 260 (claim) E. Ho: μ≤260 H₂:μ> 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) OC. Ho: μ=260 (claim) H₂:μ> 260 OF. Ho: ≤260 (claim) H₂:μ> 260

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