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Iron-deficiency anemia is an important nutritional health problem in the United States

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Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on fifteen 9-11 year old male children whose families were below the poverty level. The mean daily iron intake among these children was found to be 12.5 mg with standard deviation 4.75 mg. Also, the mean daily iron intake among a sample of 45, 9-11 year old boys from all income strata is 14.44 mg with a standard deviation of 3.54 mg. Carry out an appropriate hypothesis test to determine if the mean daily intake of 9-11 year old male children in the poverty level group is less than that of the mean from all income strata. You may assume that the daily iron intake variance is the same between the two groups. Clearly define you hypotheses, show your test statistic value and p-value and also state your conclusion in the context of the problem.

a. Provide a 95% confidence interval for the mean daily intake for children in the low income group.