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Breast-feeding versus baby formula. A study of iron deficiency among infants compared samples of infants following different feeding regimens. One group contained breast-fed infants, while the children in another group were fed a standard baby formula without any iron supplements. Here are summary results on blood hemoglobin levels (a measure of iron in the blood) at 12 months of age
Group
n
x‾
s
Breast-fed
23
13.3
1.7
Formula
19
12.4
1.8
(a) Is there significant evidence that the mean hemoglobin level is higher among breast-fed babies? State H0 and Ha and carry out a t test. Give the P-value. What is your conclusion?
(b) Give a 95% confidence interval for the mean difference in hemoglobin level between the two populations of infants.
(c) State the assumptions that your procedures in parts (a) and (b) require to be valid.
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