A sociologist is interested in exploring the difference in the amount of time students spend doing classwork (hours/week per class) between students taking online and face-to-face classes.She assumes that students taking online classes will spend more time doing classwork work than students taking face-to-face (on-site) classes. She selects at random 7 students who take online classes and 7 students who take face-to-face classes, and obtains an average of 6 hours/week per class for the online students and 5 hours/week per class for the onsite students. The variance for the online students was found to be 1, for face-to-face students, also 1.

Do we reject the null hypothesis witha 99%(0.01) level of confidence? Your answer should include stating the null and research hypothesis, your calculations, the t-ratio and the t critical value.