A study of iron deficiency among infants compared samples of infants following d
ID: 3218556 • Letter: A
Question
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 at 12 months of age. (a) Is there significant evidence that the mean hemoglobin level is higher among breast-fed babies? State H_0 and H_a. Ho: mu_breast-fed > mu_formula; H_a: mu_breast-fed = mu_formula Ho: mu_breast-fed = mu_formula; H_a: mu_breast-fed > mu_formula Ho: mu_breast-fed notequalto mu_formula; H_a: mu_breast-fedExplanation / Answer
a) Ho : mu breastfed = mu formula
Ha mu breastfed > mu formula
b) x1 = 13.1 , x2 = 12.5 , s1 = 1.5 , s2 = 1.6 , n1 = 22 , n2 = 18
SE = sqrt [(s12/n1) + (s22/n2)]
SE = sqrt [(1.52/22) + (1.62/18]
= 0.49
t = [ (x1 - x2) - d ] / SE
= [(13.1 - 12.5) - 0] / 0.49
= 1.224
df = 22 + 18 - 2 = 38
Now, we need to find p value by using t = 1.22 , df = 38
p value = .1149.
Fail to reject the null hypothesis. there is not sufficient evidence to support that mean haemoglobin is higher among the breastfed babies
CI = (x1 - x2 ) + / - z * sqrt ( s1^2 / n1 + s2^2 / n2)
= ( 13.1 - 12.5 ) + / - 1.96 * sqrt ( 1.5^2 / 22 + 1.6^2 / 18)
= (-0.369 , 1.569)
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