7:03 (20 Points) Diabetes sufferers tend to incur higher hospital bills per admission than otherwise healthy patients. The following information was collected: Diabetes Average hospital Bills ($)- X Standard Deviation ($) - s Number in sample - n Patients Healthy 15495 1500 61 Patients 11225 1200 41 a) (7 Points) If it is assumed that the two population variances are the same, find a 98% confidence interval for the difference in means. b) (3 Points) Can you reasonably conclude that the two means differ? Why or why not? c) (10 Points) Now re-do parts a) and b) of the problem if you cannot assume the two population variances are the same