An Experiment Has Been Conducted at a University to Compare

Essay

An experiment has been conducted at a university to compare the mean number of study
hours expended per week by student athletes with the mean number of hours expended
by non athletes. A random sample of 55 athletes produced a mean equal to 20.6 hours
studied per week and a standard deviation equal to 5.5 hours. A second random sample of
200 non athletes produced a mean equal to 23.5 hours per week and a standard deviation
equal to 4 hours. How many students would need to be sampled in order to estimate the
difference in means to within 1.5 hours with probability 95%?