The most common cause of anemia worldwide is iron deficiency. A dietary assessment was performed on 25 children ages 5-11 years old whose families were below the poverty level. The mean daily iron intake in this sample was 11.88 mg with a standard deviation of 3.75. Suppose the mean daily iron intake among children from all income strata is 13.56 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population of children.

a) what is the null hypothesis? (state in terms of )

b) what is the two-sided alternative hypothesis?(state in terms of )

c) calculate t-statistics

d)What is the 2-sided P-value associated with this t-statistic? Using the appropriate table, between what values does it lie?

e) Interpret what your P-value means.

f)Would you fail to reject or reject the null hypothesis based on your P-value and =0.05?

g)What is your conclusion to the research question based on your hypothesis testing?

h) Calculate a 95% confidence interval for the population mean of daily iron intake for children whose families were below the poverty level.