A statistician believes that women received more bachelor's degrees than men last year. To test this claim, she selects colleges and universities randomly and compares the number of bachelor's degrees awarded to men and women. Find the test statistic and degrees of freedom for an appropriate hypothesis test using the data set below. Let the difference d for each university be computed as d=women−men. Assume that the numbers of degrees earned are normally distributed. Round the test statistic to three decimal places. Men Women 4.58 5.63 5.64 6.15 4.78 4.68 6.11 6.14 5.12 5.78 3.15 3.92 5.64 5.94