12.E 511.X0 cy anemia is the most common form of cooking foods had traditionally

Question

12.E 511.X0 cy anemia is the most common form of cooking foods had traditionally been used in many of these research has suggested that food cooked will contal the iron content of some Ethiopian foods cooked in aluminum, clay, and iron pots. One of the Ethiopian spices. The iron content of four samples of n developing countries, affecting about 50% of In iron pots will contain more iron than food cooked in other types of pots. One study designed to investigate this issue compared countries, but they have been largely replaced by aluminum pots, which are cheaper and lighter. Some and women and 2S% of men. Iron pots for yesiga wet cooked in eac foods was yesiga wet, beef cut into small pieces and prepared with several (a) Make a table giving the sample and stan sizes in this experiment, we expect a large amount of variability h of the three types of pots is given below. The units are milligrams of iron per 100 grams of size, mean, and standard deviation for each type of pot. ts ik reasonable to pool the variances? Note that with the small sample 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? ( places. Round your P-value to three decimal places.) Round your test statistic to two decimal :) statistically significant drference between the three treatment means at the a-.05 level.

Explanation / Answer

Aluminum

Clay

Iron

2.58

1.83

4.61

1.83

3.22

5.69

2.06

2.09

4.22

2.13

3.58

4.51

X

Average

2.15

2.68

4.7575

3.195833333

SSA=4(2.15-(3.1958))^2……4(4.7575-(3.1958))^2= 15.1946

SSW=(2.58-(2.15))^2….(4.51-(4.7575))^2= 3.709475

MSA=15.1946/(3-1)=7.597

MSW=3.709475/(12-3)=0.412

F=MSA/MSW=7.597/0.412= 18.43

F crit is 4.2564 and hence, F > F crit. Reject the null hypothesis

F=18.43 and p=0.000656757

Conclusion: no

Aluminum

Clay

Iron

2.58

1.83

4.61

1.83

3.22

5.69

2.06

2.09

4.22

2.13

3.58

4.51

X

Average

2.15

2.68

4.7575

3.195833333

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