A SRS of 45 professional football players indicates the mean height to be 6.18 feet with sample standard deviation s = 0.37 feet. A SRS of 40 professional basketball players indicated the mean height to be 6.45 feet with sample standard deviation 0.13 feet. Assuming that the data is representative of all the football and basketball players, find a 95% confidence interval for the difference in their mean heights.



Explain exactly how you derived your confidence interval and explain what it means.