A sample of 134 golfers showed that their average score on a particular golf course was 87.43 with a standard deviation of 4.53.
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 134 golfers.
(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 105 golfers instead of a sample of 134.
(C) Which confidence interval is smaller and why?