Question: A random sample of 84 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. This test result prompts

A random sample of 84 eighth grade students' scores on a national mathematics assessment test has a mean score of 284. 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 280. Assume that the population standard deviation is 35. At α=0.05, is there enough evidence to support the administrator's claim?

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