{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Discussion11.01Corrections

# Discussion11.01Corrections - Corrections and comments to...

This preview shows pages 1–2. Sign up to view the full content.

Corrections and comments to discussion on 11/01/2011 1. Let X 1 , X 2 , …, X n be a random sample from the distribution with p.d.f ( ) , We wish to test H 0 : θ ≥ 2 vs. H 1 : θ < 2 . a) If n=5, find a uniformly most powerful rejection region with the significance level α =0.1 that is based on the statistic . That is, for which values of should H 0 be rejected? ( ) ( )∑ Since θ < 2 then Λ increases as decreases so we have that our uniformly most powerful rejection region is: The distribution of we have found a few times before and you can do for example using the CDF method: ( ) ( ) ( ) ( ) ( ) , x,θ ( ) ( , ) α ( | ) (∑ ≥ | )

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}