A national report states that the mean year salary offer for students graduating with mathematics and statistics degrees in 2016 was $62,900. To test this claim a group of statistics students took a random sample of 40 mathematics and statistics graduates at a large university who received job offers resulted in a mean offer of $61,850 and a standard deviation of $4500. Do the sample data provides strong evidence to conclude that the mean salary offer at this university is lower than the national average of $62,900?
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