Does the type of cooking pot affect iron content? 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. 17 in Exercise 12.49 (page 679). we analyzed the iron content of yesiga wer:, beef cut into small pieces and prepared with several Ethiopian spices. The researchers who conducted this study also examined the iron content of shiro wet', a legume-based mixture of chickpea flour and Ethiopian spiced pepper, and ye-atkilt allych'a, a lightly spiced vegetable casserole. In the table below, these three foods are labeled meat. legumes, and vegetables. Four samples of each food were cooked in each type of pot. The iron in the food is measured in milligrams of iron per 100 grams of cooked food. Here are 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? Although the standard deviations vary more than we would like, this is partially due to the small sample sizes and we will proceed with the analysis of variance. (b) Plot the means. Give a short summary of how the iron content of foods depends upon the cooking pot. (c) Run the analysis of variance. Give the ANOVA table, the F statistics with degrees of freedom and P-values, and your conclusions regarding the hypotheses about main effects and interactions. Does the type of cooking pot affect iron content? 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. 17 in Exercise 12.49 (page 679). we analyzed the iron content of yesiga wer:, beef cut into small pieces and prepared with several Ethiopian spices. The researchers who conducted this study also examined the iron content of shiro wet', a legume-based mixture of chickpea flour and Ethiopian spiced pepper, and ye-atkilt allych'a, a lightly spiced vegetable casserole. In the table below, these three foods are labeled meat. legumes, and vegetables. Four samples of each food were cooked in each type of pot. The iron in the food is measured in milligrams of iron per 100 grams of cooked food. Here are 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? Although the standard deviations vary more than we would like, this is partially due to the small sample sizes and we will proceed with the analysis of variance. (b) Plot the means. Give a short summary of how the iron content of foods depends upon the cooking pot. (c) Run the analysis of variance. Give the ANOVA table, the F statistics with degrees of freedom and P-values, and your conclusions regarding the hypotheses about main effects and interactions
