Which confidence interval is smaller and why


A sample of 93 golfers showed that their average score on a particular golf course was 89.33 with a standard deviation of 6.43.
Answer each of the following (show all workand state the final answer to at least two decimal places.):
(A) Find the 95% confidence interval of the mean score for all 93 golfers.
(B) Find the 95% confidence interval of the mean score for all golfers if this is a sample of 110 golfers instead of a sample of 93.
(C) Which confidence interval is smaller and why?

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Basic Statistics: Which confidence interval is smaller and why
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