SOLUTION: A sample of 134 golfers showed that their average score on a particular golf course was 87.43 with a standard deviation of 4.53. Answer each of the following (show all work and

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Question 662507: A sample of 134 golfers showed that their average score on a particular golf course was 87.43 with a standard deviation of 4.53.
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 134 golfers.
(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 105 golfers instead of a sample of 134.
(C) Which confidence interval is smaller and why

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
134 golfers: m = 87.43 and s = 4.53
(A) Find the 99% confidence interval of the mean score for all 134 golfers.
ME = 2.58%284.53%2Fsqrt%28134%29%29
the 99% confidence interval:
87.43 - ME < mu < 87.43 + ME
99% confidence interval of the mean score for all golfers if this is a sample of 105 golfers
ME = 2.58%284.53%2Fsqrt%28105%29%29
87.43 - ME < mu < 87.43 + ME
(C) Which confidence interval is smaller and why
larger sample has a smaller confidence interval as the ME is smaller
sqrt%28134%29%3Esqrt%28105%29