6. 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 the summary results on blood hemoglobin levels at 12 months of age. Mean STD Sample size Breast-fed 13.3 1.7 23 Formula 12.4 1.8 19 Assume that the population variances of the two groups are the same. a. Use the t-test to investigate whether the mean hemoglobin level is different between breast-fed infants and infants who were fed standard baby formula. Use α=0.05. Approximate the p-value using the t-table. b. Use the ANOVA F-test to investigate whether the mean hemoglobin level is different between breast-fed infants and infants who were fed standard baby formula. Use α=0.05. Approximate the p-value using the F-table. c. What is the relationship between the t test statistic and the F-test statistic (Hint: check to see if t2 = F)? What about the p-values from the t-test and the F-test?
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