A study of iron deficiency among infants compared blood hemoglobin levels of a random sample of one-year-old infants who

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A Study Of Iron Deficiency Among Infants Compared Blood Hemoglobin Levels Of A Random Sample Of One Year Old Infants Who 1 (70.1 KiB) Viewed 50 times

A study of iron deficiency among infants compared blood hemoglobin levels of a random sample of one-year-old infants who had been breast-fed to a random sample of one-year-old infants who had been fed with standard infant formula. Here are the results. In X S Breast-fed infants 23|14.8 1.8 Formula-fed infants 1712.82 We wish to test the hypothesis Ho: MB-up = 0 against Ha: MB-MF0, where ug and up are the population mean blood hemoglobin levels for breast-fed and formula-fed infants, respectively. a) What additional information would you need to confirm that the conditions for this test have been met? Select all that apply. Because 17 < 30, the distribution of blood hemoglobin level for the sample of formula-fed infants should be Normal. Because 23<30, the distribution of blood hemoglobin level for the sample of breast-fed infants should be Normal. Because 17 < 30, the distribution of blood hemoglobin level for all formula-fed infants should be Normal. Because 23 < 30, the distribution of blood hemoglobin level for all breast-fed infants should be Normal. b) Calculate the standardized test statistic. (3 decimal places) t = c) Determine the p-value. (4 decimal places) p-value = d) What is your conclusion at a = 0.05? O Because the p-value is so large (p-value > 0.05) we fail to reject Ho, there is not enough evidence to say that there is a difference between the average blood hemoglobin level of all breast-fed infants and the average blood hemoglobin level of all formula-fed infants. Because the p-value is so small (p-value < 0.05) we reject Ho, there is strong enough evidence that there is a difference between the average blood hemoglobin level of all breast-fed infants and the average blood hemoglobin level of all formula-fed infants. O Because the p-value is so large (p-value > 0.05) we reject Ho, there is strong enough evidence that there is a difference between the average blood hemoglobin level of all breast-fed infants and the average blood hemoglobin level of all formula-fed infants. Because the p-value is so small (p-value < 0.05) we fail to reject Ho, there is not enough evidence to say that there is a difference between the average blood hemoglobin level of all breast-fed infants and the average blood hemoglobin level of all formula-fed infants. e) Construct a 95% confidence interval for the difference between the average blood hemoglobin level for all breast-fed infants and the average blood hemoglobin level for all formula-fed infants. (3 decimal places)