A study of 35 golfers showed that their averages score on a particular course was 92. The standard deviation of the sample is 5.
a. Find the best point estimate of the mean.
b. Find the 95% confidence interval of the mean score for all golfers.
c. Find the 95% confidence interval of the mean score if a sample of 60 golfers is used instead of a sample of 35.
d. Which interval is smaller? Explain.