Iron deficiency anemia is an important nutritional health problem in the U.S. A

Question

Iron deficiency anemia is an important nutritional health problem in the U.S. A dietary assessment was performed on 51 boys 9-11-years old whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.50 mg with standard deviation 4.75 mg. Suppose the mean daily iron intake among a 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. USING MINITAB, Carry out the hypothesis test using the critical-value method with an alpha= 0.05

c. USING MINITAB, Construct a 95% confidence interval estimate for the true mean of iron intake of the general population. I need b an c answered using Minitab

Explanation / Answer

By using MINITAB,

MTB > OneZ 51 12.50;
SUBC> Sigma 4.75;
SUBC> Test 14.44;
SUBC> Confidence 95.0;
SUBC> Alternative 0.

One-Sample Z

a] To test hypothesis,

Test of , H0: = 14.44 vs H1: 14.44
The assumed standard deviation = 4.75

N Mean SE Mean 95% CI Z P
51 12.500 0.665 (11.196, 13.804) -2.92 0.004

b] critical value = Z0.05 = -1.96

Z value = -2.92 < Z 0.05 = -1.96

Reject H0 at 5% los

c] 95% confidence interval estimate for the true mean of iron intake of the general population,

  (11.196, 13.804)

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