In: Statistics and Probability
The UD Women's Golf Team qualified for nationals this year (really they did; the rest is untrue) ... and the two best golfers on the squad were very well matched. Golfer 1 played 112 rounds (n1 =112) this year with an average score of 69.95 and golfer 2 played 84 rounds (n2 = 84) with an average score of 69.56. Assuming both had population standard deviations of 2.5 and that the confidence level we wanted was 99%, test the hypothesis that there was no difference between the population mean scores for UD's top two golfers.