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A sample of 84 golfers showed that their average score on a particular golf course was 89.05 with a standard deviation of 3.47.

a) Find the 98% confidence interval of the mean score for all 84 golfers.

b) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 115 golfers instead of a sample of 84.

c) Which confidence interval is smaller and why?

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