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7 pages/≈1925 words

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APA

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Mathematics & Economics

Type:

Statistics Project

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English (U.S.)

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# Analyze The Sample Mean And Compare It To The Theoretical Mean (Statistics Project Sample)

Instructions:

simulation project, the instruction is in the oral-exam pdf.

source..Content:

#console to analyze the sample mean and compare it to the theoretical mean

set.seed(1)

lambda<-0.2

nexp<-40

nsim<-1000

mns<-NULL

for(i in 1:nsim) mns<-c(mns,mean(rexp(40,lambda)))

hist(mns, col="blue", main="distributions of means of rexp")

## console for comparing the variance of the means vs the theoretical variance

varexp<-((1/lambda)^2)/nexp ##theoritical variance

varmean<-var(mns) ## variance of the means

##simulation initialization

lambda<-0.2

mu<-1/lambda

n<-40

nosim<-100

nosim2<-2000

simulations<-rexp(n*nosim2,lambda)

simulations40<-matrix(simulations[1:(n*nosim)],nosim)

simulations40by2000<-matrix(simulations,nosim2)

##comparing sample...

set.seed(1)

lambda<-0.2

nexp<-40

nsim<-1000

mns<-NULL

for(i in 1:nsim) mns<-c(mns,mean(rexp(40,lambda)))

hist(mns, col="blue", main="distributions of means of rexp")

## console for comparing the variance of the means vs the theoretical variance

varexp<-((1/lambda)^2)/nexp ##theoritical variance

varmean<-var(mns) ## variance of the means

##simulation initialization

lambda<-0.2

mu<-1/lambda

n<-40

nosim<-100

nosim2<-2000

simulations<-rexp(n*nosim2,lambda)

simulations40<-matrix(simulations[1:(n*nosim)],nosim)

simulations40by2000<-matrix(simulations,nosim2)

##comparing sample...

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