You read an article in Golf Digest that someone with your average drive distance will have an average score of 72.76. You keep track of your scores for the next 14 rounds and see that your average score is 77.74 with a standard deviation of 2.413 strokes. You create a 95% confidence interval for your average score and it is (76.347, 79.133). Given this information, what is the best conclusion?
1) The percentage of rounds in which you score more than 72.76 is 95%.
2) We are 95% confident that your average score is less than 72.76.
3) We cannot determine the proper interpretation based on the information given.
4) We are 95% confident that your average score is greater than 72.76.
5) We are 95% confident that your average score is no different from 72.76.