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A sample of 40 golfers showed that their average on a particular course was 94 with a standard deviation of 6.

a. Find the 95% confidence interval of the mean score for all golfers.

b. Find the 95% confidence interval of the mean score for all golfers if a sample of 70 golfers is used instead of a sample of 40.

c. Which interval is smaller? Explain why.

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