Iron-deficiency anemia is the most common form of malnutrition in developing cou
ID: 3221460 • Letter: I
Question
Iron-deficiency anemia is the most common form of malnutrition in developing countries, affecting about 50% of children and women and 25% of men. Iron pots for cooking foods had traditionally been used in many of these countries, but they have been largely replaced by aluminum pots, which are cheaper and lighter. Some research has suggested that food cooked in iron pots will contain more iron than food cooked in other types of pots. One study designed to investigate this issue compared the iron content of some Ethiopian foods cooked in aluminum, clay, and iron pots. One of the foods was yesiga wet, beef cut into small pieces and prepared with several Ethiopian spices. The iron content of four samples of yesiga wet cooked in each of the three types of pots is given below. The units are milligrams of iron per 100 grams of cooked food. Here is the data.
(a) Make a table giving the sample size, mean, and standard deviation for each type of pot. Is it reasonable to pool the variances? Note that with the small sample sizes in this experiment, we expect a large amount of variability in the sample standard deviations.
(b) Run the analysis of variance. Report the F statistic with its degrees of freedom and P-value. What do you conclude? (Round your test statistic to two decimal places. Round your P-value to three decimal places.)
F =
P =
Conclusion: Is there a statistically significant difference between the three treatment means at the = .05 level?
Type of pot n s Aluminum Clay IronExplanation / Answer
a)
b) H0: There is no difference between mean of three treatments
H1: There is a difference between means of three treatments
alpha:5%
Test statistic:
We use One way Analysis
F cal=60.74
P value=0.00000594
Conclusion:
P < 0.05 we reject the H0. Hence claim is significant.
Groups Count Sum Average Variance SE Aluminum 4 8.16 2.04 0.0422 0.102713 Clay 4 8.09 2.0225 0.222692 0.235951 Iron 4 17.25 4.3125 0.077825 0.139486Related Questions
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