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A random sample of 86 eighth grade students scores on a national mathematics assessment test has a mean score of 267. This test result prompts a state school administrator to declare that the mean score for the states eighth graders on this exam is more than 260. Assume that the population standard deviation is 31. At α=0.12, is there enough evidence to support the administrators claim? Complete parts (a) through (a) Write the claim mathematically and identify Ho and H OA. How 260 0 D. Ho: μ 260 (claim) Chooe the correct answer below 0 B. Ho : μ<260 O c. Ho: μ s 200 Ha: μ> 260 (claim) Ho: μ$200 (claim) Ha : μ > 260 Ha : μ > 260 (claim) Ha : μ 2260 (claim) HO : μ2 280 (claim) Ha : μ < 260 Ο E. ° F. Ha : μ> 260 (b) Find the standardized test statistic z, and its corresponding area. z(Round to two decimal places as needed.) (c) Find the P-value. P-valueRound to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject Ho O Fail to reject Ho e) Interpret your decision in the context of the original claim At the 12% significance level, there graders on the exam is more than 280 enough evidence to the administrators claim that the mean score for the states eighth

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