We can compute sample statistics by hand, but it takes a lot of time for computation. In exams, to reduce the amount of time spent on those calculations, I will try to provide all the statistics, like following problems. You will still need to decide if the two groups being compared are dependent or independent, to choose appropriate inference procedure. For paired to test, use the DIFF statistics, while for two sample t test, use each individual group statistics. 6. (12pts)Iron is very important for babies’ growth. A common belief is that breast feeding will help the baby to get more iron than formula feeding. To justify the belief, a study followed 2 groups of babies from born to 6 months. With one group babies are breast fed, and the other group are formula fed without iron supplements. Data below shows iron levels of those two groups of babies. (1) (2pts) There are two groups we need to compare for the study: Breast-Fed and FormulaFed. Are those two groups dependent or independent? Based on your answer, what inference procedure should we apply for this research? (2) (8pts)Please perform the inference you decided in (1), and make sure to follow the 5-step procedure for any hypothesis test. (3) (2pts)Based on your conclusion in (2), what kind of error could you make? Explain the type of error using the context words for this research