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Finding a Confidence Interval of a Mean Score

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A sample of 85 golfers showed that their average score on a particular golf course was 91.31 with a standard deviation of 5.37.

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 85 golfers.
(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 120 golfers instead of a sample of 85.
(C) Which confidence interval is smaller and why?

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