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A sample of 50 golfers showed that their average score on a particular golf course was 90 with a standard deviation of 6. Answer each of the following (show all work):

(A) Find the 95% confidence interval of the mean score for all 50 golfers.
(B) Find the 95% confidence interval of the mean score for all golfers if this is a sample of 80 golfers instead of a sample of 50.
(C) Which confidence interval is smaller and why?

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