[Step-by-Step] A sample of 82 golfers showed that their average score on a particular golf course was 81.93 with a standard deviation of 3.87. Answer each


Question: A sample of 82 golfers showed that their average score on a particular golf course was 81.93 with a standard deviation of 3.87.
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 82 golfers.
(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 145 golfers instead of a sample of 82.
(C) Which confidence interval is smaller and why?

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