The Student Services Department at a Prince Edward Island college wants to see whether there are differences in the study habits of male and female students. A random sample of female students is selected, and then a corresponding sample of male students is designed- same programs, ages, previous educational experience, and living arrangements (that is, all of the students are living away from their parents). The students are asked to keep track of the number of hours they study over a four-week period. Does it appear, based on these data that male students study less than female students? Use a 2% significance level. Construct a 96% confidence interval estimate of the average amount of time that male students study less than their female counterparts.