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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