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A random sample of 75 eighth grade students scores on a national mathematics assessment test has a mean score of 264. 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 a=.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
A. Write the claim mathematically and identify Ho and Ha.
B. Find the standardized test statistic z.
C. Find the P-value
D. Decide whether to reject or fail to reject the null hypothesis.
E. Interpret your decision in the context of the original claim.
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