here is the data ron-deficiency anem a s he most common orm of malnutrition in d

Question

here is the data

ron-deficiency anem a s he most common orm of malnutrition in developing countries, affecting about 50% o children and women and 2 ot men ron pots or c o ang o sha 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 orams of cooked food. data137.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. of I1 luminum 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.) F= Conclusion: There is , statistically significant difference between the three treatment means at the -.05 level

Explanation / Answer

we shall do this using the open source statistical package R , the complete R snippet is as follows

# read the data into R dataframe
data.df<- read.csv("C:\Users\586645\Downloads\Chegg\data.csv",header=TRUE)
str(data.df)

# perform anova analysis
a<- aov(lm(iron~ typepot,data=data.df))

#summarise the results
summary(a)

The results of the anova table are

> summary(a)
Df Sum Sq Mean Sq F value Pr(>F)
typepot 2 19.865 9.933 26.47 0.00017 ***
Residuals 9 3.378 0.375
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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

The F stat os 26.47

p value is 0.00017

as the p value is less than 0.05 , hence the result is statistically signficant

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