{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Confidence Interval Flowchart

# Confidence Interval Flowchart - Small Δ x s 1 2 n 1 s 2 2...

This preview shows page 1. Sign up to view the full content.

Confidence Interval Flowchart Parameter Variance known? Variances same? Size? Point estimator Standard error Distribution type D.O.F. Confidence interval Mean, μ Known Irrelevant x σ x n z-distrib. x ± z α /2 σ x Mean, μ Unknown Small x s x n t-distribution n 1 x ± t α /2 s x Mean, μ Unknown Large x s x n Approx. z x ± z α /2 s x Proportion, p Known Irrelevant Crazy Crazy Crazy Crazy Crazy Proportion, p Unknown Small ˆ p ˆ p (1 ˆ p ) n ??? ??? ??? Proportion, p Unknown Large ˆ p ˆ p (1 ˆ p ) n approx. z ˆ p ± z α /2 s ˆ p Diff. in means, Δ μ Known Irrelevant Δ x σ 1 2 n 1 + σ 2 2 n 2 z-distrib. Δ x ± z α /2 σ Δ x Diff. in means, Δ μ Unknown Yes Small Δ x ( n 1 1) s 1 2 + ( n 2 1) s 2 2 n 1 + n 2 2 1 n 1 + 1 n 2 t-distrib. n 1 + n 2 2 Δ x ± t α /2 s Δ x Diff. in means, Δ μ Unknown Yes Large Δ x ( n 1 1) s 1 2 + ( n 2 1) s 2 2 n 1 + n 2 2 1 n 1 + 1 n 2 approx. z Δ x ± z α /2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Small Δ x s 1 2 n 1 + s 2 2 n 2 t-distrib. n 1 + n 2 − 2 (approx.) Δ x ± t /2 s Δ x Diff. in means, Δ Unknown No Large Δ x s 1 2 n 1 + s 2 2 n 2 approx. z — Δ x ± z /2 s Δ x Diff. in proportions, Δ p Known — Irrelevant Crazy Crazy Crazy Crazy Crazy Diff. in proportions, Δ p Unknown Yes Irrelevant Crazy Crazy Crazy Crazy Crazy Diff. in proportions, Δ p Unknown No Small Δ ˆ p p 1 ( p 1 − 1) n 1 + p 2 ( p 2 − 1) n 2 ??? ??? ??? Diff. in proportions, Δ p Unknown No Large Δ ˆ p p 1 ( p 1 − 1) n 1 + p 2 ( p 2 − 1) n 2 approx. z — Δ ˆ p ± z /2 s Δ ˆ p...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern