This data set includes the percentage of protein intake from different types of food in countries around the world. We will do a bootstrap experiment on the variable protein

var.name
Country
AlcoholicBeverages
AnimalProducts
Animalfats
CerealsExcludingBeer
Eggs
FishSeafood
FruitsExcludingWine
Meat
MilkExcludingButter
Offals
Oilcrops
Pulses
Spices
StarchyRoots
Stimulants
Treenuts
VegetalProducts
VegetableOils
Vegetables
Miscellaneous
Obesity
Confirmed
Deaths
Recovered
Active
Population

Here, we are performing a bootstrapping process by taking a sample of the population in the variable “eggs”. Afterwards we will take means of the sample 1000 times and plot all the means in a historgram. We are resampling with replacement to maintain the data structure of the population as we reshuffle the values, while extrapolating to the population.

Without bootstrapping, we are 95% confident that the mean of the amount of eggs consumed is between 1.04 and 1.28

95% percentile confidence interval of the mean egg consumption without bootstrapping
2.5 % 97.5 %
(Intercept) 1.042265 1.28067

While calculating our confidence interval from our bootstrapped sample, we calculated that we are 95% confident that the mean of the amount of eggs consumed is between 1.04 and 1.278. Since both of the confidence intervals of the original population and the sampling distribution are almost similar, we can assume that the original population is normally distributed.

95% bootstrap percentile confidence interval of the mean egg consumption
x
2.5% 1.049033
97.5% 1.278352

The following is a bootstrap sampling distribution with n=170

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