Iron deficiency anemia is important nutritional health problem in the U.S. A dietary assessment was performed on 51 boys 9-11-years old whose families were below poverty level. The mean daily iron intake among such boys was found to be 12.50 mg with standard deviation 4.75 mg. Assume the mean daily iron intake among large population of 9-11-years old boys from all income strata is 14.44 mg. We want to test if the mean iron intake among the low-income group is different from that of the general population.

a. State the hypothesis that you can use to consider this question.

b. Carry out the hypothesis test using the critical-value method with an alpha= 0.05

c. Construct a 95% confidence interval estimate for the true mean of iron intake of the general population.