A random sample of 82 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 alphaequals0.11, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Question content area bottom Part 1 (a) Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. Choose the correct answer below. A. Upper H 0: muequals260 Upper H Subscript a: mugreater than260 (claim) B. Upper H 0: muless than or equals260 Upper H Subscript a: mugreater than260 (claim) Your answer is correct.C. Upper H 0: muequals260 (claim) Upper H Subscript a: mugreater than260 D. Upper H 0: muless than or equals260 (claim) Upper H Subscript a: mugreater than260 E. Upper H 0: mugreater than or equals260 (claim) Upper H Subscript a: muless than260 F. Upper H 0: muless than260 Upper H Subscript a: mugreater than or equals260 (claim) Part 2 (b) Find the standardized test statistic z. zequals enter your response here (Round to two decimal places as needed.)