Arnold Palmer and Tiger Woods are two of the best golfers to ever play the game. The

Question:

Arnold Palmer and Tiger Woods are two of the best golfers to ever play the game. The question was raised as to how these two golfers would have compared if both were playing at the top of their game. The following sample data show the results of 18-hole scores during a PGA tournament competition. Palmer's scores are from his 1960 season, while Wood's scores are from his 1999 season

Woods, 1999 1960 Palmer, 69.95 69.56 Mean Mean 84 112

Assume that the population standard deviation was 2.5 strokes for both golfers. Test the hypothesis that there was no difference between the scores of the two golfers at the 1% significance level. Show all steps.