The report “2016 Salary Survey Executive Summary” (National Association of Colleges and Employers, naceweb.org/uploadedfiles/files/2016 /publications /executive summary/2016-nace-salary-survey-fall -executive-summary.pdf, retrieved December 24, 2016) states that the mean yearly salary offer for students graduating with mathematics and statistics degrees in 2016 is $62,985. 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 $63,500 and a standard deviation of $3300. 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 2016 national average of $62,985? Test the relevant hypotheses using α = 0.05.