r - Generate t distribution density plot with pre-specified mean -

i create student's t distribution density plot mean of 0.02 instead of 0. possible do?

the distribtion should have 2 degrees of freedom.

is possible do?

i tried following:

x<-rnorm(100000,mean=0.02, sd=(1/sqrt(878))) pop.mean<-mean(x) t<-sapply(1:10000, function(x) (mean(sample(x,100))-pop.mean)/(1/sqrt(878)))  plot(density(t)) 

1. is approach correct?

2. if correct, how can real densities, not approximation?

your statement , example contradict each other somewhat.

do want non-central t distribution based on normal mean 0.02? example suggests, note non-central t not shifted t, skewed.

if want non-central t can plot command like:

 curve(dt(x,2,0.02), from=-5, to=6) 

or, want shifted t distribution? distribution symmetric around 0.02 shape of t distribution?

you can plot curve shifted using command like:

curve(dt(x-0.02,2), from=-5, to=6 ) 

the curve function has add argument use plot both on same plot if want compare them (not difference in case), changing color on 1 of them suggested.