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A simple random sample of SAT test scores is obtained, and the scores are listed below.  As of this writing, the mean test score was reported to be 678.  Assuming that the standard deviation of all the test scores is known to be 58.3, use a .05 significance level to test that these sample test scores come from a population with a mean not equal to 678. 

714   751   664   789   818   779   698   836   753   834   693   802. state the null and alternative hypotheses, the pvalue, and conclusion.