You may be interested in an applet I have on my website demonstrating the
normal approximation to the binomial.
<http://www.ruf.rice.edu/~lane/stat_sim/normal_approx/index.html>
--David
> From: [EMAIL PROTECTED] (James Ankeny)
> Organization: None
> Newsgroups: sci.stat.edu
> Date: 9 Apr 2001 14:41:31 -0700
> Subject: normal approx. to binomial
>
> Hello,
> I have a question regarding the so-called normal approx. to the binomial
> distribution. According to most textbooks I have looked at (these are
> undergraduate stats books), there is some talk of how a binomial random
> variable is approximately normal for large n, and may be approximated by the
> normal distribution. My question is, are they saying that the sampling
> distribution of a binomial rv is approximately normal for large n?
> Typically, a binomial rv is not thought of as a statistic, at least in these
> books, but this is the only way that the approximation makes sense to me.
> Perhaps, the sampling distribution of a binomial rv may be normal, kind of
> like the sampling distribution of x-bar may be normal? This way, one could
> calculate a statistic from a sample, like the number of successes, and form
> a confidence interval. Please tell me if this is way off, but when they say
> that a binomial rv may be normal for large n, it seems like this would only
> be true if they were talking about a sampling distribution where repeated
> samples are selected and the number of successes calculated.
>
>
>
>
>
>
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