Question: A sample of 82 golfers showed that their average score on a particular golf course was 81.93 with a standard deviation of 3.87.
Answer each of the following (show all work and state the final answer to at least two decimal places.):
(A) Find the 99% confidence interval of the mean score for all 82 golfers.
(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 145 golfers instead of a sample of 82.
(C) Which confidence interval is smaller and why?