A sample of 140 golfers showed that their average score on a particular golf course was 93.38 with a standard deviation of 4.36.
Answer each of the following (show all work and state the final answer to at least two decimal places.):
(A) Find the 90% confidence interval of the mean score for all 140 golfers.
(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 95 golfers instead of a sample of 140.
(C) Which confidence interval is smaller and why?