The Old Course at St. Andrews in Scotland is home of the British Open, one of the major tournaments in professional golf. The Hole O'Cross Out, known by both European and American professional golfers as one of the friendliest holes at St. Andrews, is the fifth hole, a 514-yard, par 5 hole with an open fairway and a large green. As one reporter put it, "If players think before they drive, they will easily walk away with birdies and pars." The scores on the Hole O'Cross Out posted by a sample of 156 golf professionals are presented on the Weiss-Stats site. Use those data and the technology of your choice to decide whether, on average, professional golfers score better than par on the Hole O'Cross Out.

Perform the required hypothesis test at the 0.01 level of significance.

(a). Employ the Wilcoxon signed-rank test.

(b). Employ the t-test.

(c). Compare your results from parts (a) and (b).