-33.34 points MIntroStat8 12.E.511.XP My Notes Ask Your Teache Iron-deficiency a
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Question
-33.34 points MIntroStat8 12.E.511.XP My Notes Ask Your Teache 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. data176.dat (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. ype of pot Aluminum Clay ron (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.) conclusion: There is GSeiect statistically significant difference between the three treatment means at the a 05 levelExplanation / Answer
Answer:
n
mean
sample standard deviation
standard error of the mean
Aluminum
4
1.9325
0.2103
0.1051
Clay
4
2.9600
0.5537
0.2769
Iron
4
4.6425
0.3860
0.1930
One factor ANOVA
Mean
n
Std. Dev
1.933
4
0.2103
Aluminum
2.960
4
0.5537
Clay
4.643
4
0.3860
Iron
3.178
12
1.2238
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
14.9742
2
7.48711
44.94
0.0000
Error
1.4993
9
0.16659
Total
16.4736
11
F= 44.94
P=0.000
Ho is rejected.
There is a statistically significant difference between the three treatment maeans.
n
mean
sample standard deviation
standard error of the mean
Aluminum
4
1.9325
0.2103
0.1051
Clay
4
2.9600
0.5537
0.2769
Iron
4
4.6425
0.3860
0.1930
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