Say I have a sample, assumed from a Normal Distribution. I want to find a confidence interval for this parameter:
\(L = \mu - \alpha * \sigma\)
where \(\alpha\) is a known constant.
I guess I should use the estimator:
\(\bar{x} - \alpha*s\)
But what standard error should I use?
Just for context - the situation is that I have measured the size of 8 manufactured objects, and want to figure out a reasonable value for the minimum size that they might ever take.
Cheers! This is my first post, so I hope it makes sense, and the maths typesetting works.
\(L = \mu - \alpha * \sigma\)
where \(\alpha\) is a known constant.
I guess I should use the estimator:
\(\bar{x} - \alpha*s\)
But what standard error should I use?
Just for context - the situation is that I have measured the size of 8 manufactured objects, and want to figure out a reasonable value for the minimum size that they might ever take.
Cheers! This is my first post, so I hope it makes sense, and the maths typesetting works.
