Mike, et al:
My intepretation of the events in question is that you always should use the
n-1 because you never know the actual population mean. However, on the
homework, we were told (at least tonight we were told- it doesn't say this
on the homework) to assume that we did know the population mean, and were
working backwards. In that case, you can use the population sd. The
difference seems to have to do with the presumption about what the
population mean is. if you assume that your estimate is right (a false
assumption, but the one we were supposed to use in the homework), then you
can use n. otherwise, its n-1.
However, i would note that i have never heard of anyone actually doing this,
probably because the difference between n and n-1 is so small as to be
irrelevant in general. So most people just round the n-1 to n, and forget
about it. This is what i have learned in the past...
best
jason
----- Original Message -----
From: "Michael Richard Kellermann" <kellerm(a)fas.harvard.edu>
To: <gov1000-list(a)fas.harvard.edu>
Sent: Wednesday, September 24, 2003 10:39 PM
Subject: [gov1000-list] sample v. population confidence intervals
Hi all -
I have a question about the discussion we had tonight regarding the
confidence interval versus the sample confidence interval. I understand
that when you have to estimate both the mean and the standard deviation to
calculate the confidence interval, you have to use n-1 rather than n.
The formula that we are using to calculate the confidence interval only
requires us to estimate one parameter, p. Using this method for
calculating confidence intervals, when would we need to use n-1?
Cheers,
Mike
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