A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. 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 33. At a = 0.14, 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. A. Ho: us 270 O B. Ho: H<270 O C. Ho: us270 (claim) Hg: u> 270 (claim) Ha: H2270 (claim) Ha: u> 270 O E. Ho: H= 270 Ha: H> 270 (claim) O F. Ho: 2270 (claim) H3: H<270 O D. Ho: µ=270 (claim) Hg: µ> 270 (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.)

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