It is interesting to graph the distribution of the standardized average as n
increases. Do this when the Xi are
uniform on [0; 1]. Look at the histogram when n is 1, 5, 10 and 25. Do you
see the normal curve taking shape?
(A rule of thumb is that if the Xi are not too skewed, then n > 25 should
make the average approximately
normal. You might want
> f=function(n,a=0,b=1) {
mu=(b+a)/2
sigma=(b-a)/sqrt(12)
(mean(runif(n,a,b))-mu)/(sigma/sqrt(n))
}
where the formulas for the mean and standard deviation are given. )Thank you very much! -- View this message in context: http://r.789695.n4.nabble.com/Please-help-with-one-problem-tp3091392p3091392.html Sent from the R help mailing list archive at Nabble.com. ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
