A study of iron deficiency in infants compared samples of infants whose mothers chose different ways of feeding them. One group contained breast-fed infants. The children in another group were fed a standard baby formula without any iron supplements. Here are summary results on blood hemoglobin levels at 12 months of age. Group Sample Size Sample mean Sample standard deviation Breast-fed 24 15.2 2.2 Formula 32 17.2 1.8 Part a: We want to see if the mean hemoglobin level is greater among formula-fed babies. State the hypotheses and perform the significance test on your hypothesis. Report the test statistic and p-value. State your conclusion in terms of the issue. Part b: Give a 95% confidence interval for the mean difference in hemoglobin level between the two populations of infants