A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,955. Suppose that a random sample of 50 mathematics and statistics graduates at a large university who received job offers resulted in a mean offer of $63,600 and a standard deviation of $3,500. Do the sample data provide strong support for the claim that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,955