Please help with deriving the coverage probability from the confidence interval.

[dark sedge]

Hello, I am trying to derive the coverage probability from the confidence interval above. I understand derivatives, but I am unsure where to go from here. Any help is appreciated.

[foggy prism]

1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
2. Wait patiently for a helper to come along.
3. Once someone helps you, say thank you and close the thread with:

   +close
   

4. Feel free to nominate the person for helper of the week in #helper-nominations
5. Do not ping the mods, unless someone is breaking the rules.
6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[dark sedge]

I understand that this is a normal-based 1-a confidence interval

[drifting ember]

It is known that T converges in distribution to a standard normal

So as an approximation, you can pretend that T is indeed a standard normal

You know how to compute confidence intervals for standard normals right?

[dark sedge]

Thank you for your help, I figured it out this morning!

+close