A sample of 50 golfers showed that their average score on a particular golf course was 90 with a standard deviation of 6. Answer each of the...

A sample of 50 golfers showed that their average score on a particular golf course was 90 with a standard deviation of 6. Answer each of the following (show all work):(A) Find the 95% confidence interval of the mean score for all 50 golfers.(B) Find the 95% confidence interval of the mean score for all golfers if this is a sample of 80 golfers instead of a sample of 50.(C) Which confidence interval is smaller and why? (Points :6)