A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 278. 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 270. Assume that the population standard deviation is 31. At a= 0.06, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H. Choose the correct answer below. O B. Ho: = 270 (claim) OA. Ho: H<270 H2270 (claim) O C. Ho: p= 270 H>270 (claim) Hap>270 E H μs 270 O D. Ho: HS270 (claim) H>270 OF Ho: H2270 (claim) Hu<270 Ha: > 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) %=

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