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A sample of 35 golfers showed that their average score on a particular golf course was 80 with a standard deviation of 10.
Answer each of the following (show all work):

(A) Find the 99% confidence interval of the mean score for all 35 golfers.
(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 50 golfers instead of a sample of 35.
(C) Which confidence interval is larger and why?

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