Wackerly lecture 17 large sample hypothesis testing

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

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

Unformatted text preview: t” : small. Put burden of proof on Prosecutor : Experimenter Experimenter : Prosecutor : guilty © © © ¤ ¢ ¤ ¡© ¢ ¤© ¢ STA 2023 c D.Wackerly - Lecture 17  226 ¡ ¡ ¡ Test Statistic, TS Need ¡ ¢ £ ¤ ¢ £ Rejection Region, RR . has an APPROXIMATE Recall : Large Sample is true If has a is true, is a TEST STATISTIC if is a That is  ¡ ¤ ¢ £ £ In this case, ¡ Lightbulb Example : ¢ ¡¡ % a fixed particular value of   £ ¡¡ #$ £ ¡ ¡ ¢© ©  ¡ #$ ¢ ¡¢ £ £ about a Population Mean, ¡ STA 2023 c D.Wackerly - Lecture 17 ¢ ¡¡ ¢ ¢ $ ¡ Large Sample Hypothesis Testing 227 ¢0 ¢0 STA 2023 c D.Wackerly - Lecture 17 © © ¢ ¡¡ $ ¢ ¢0 ¢0 © © ¥ £ ¥¤ ¡ ¢£   ¡ ¢£  ¡ ¢£ ¡©  ¡¡   ¢ ¡¡  ¤ ¢0 ¢0 £ ¢ ¢ ¡ ¥¤ £ ¤  228 distribution distribution ¤ £ ¡¡ ¥¤ ¡¡ ¥¤ £ ¢© © © ¤¢ £ $ Rejection region : If we are interested in © Want © 0 zα α type I error Rejection region : ¡ ¡ “something” in favor of than . by a “lot” of standard errors. true mean lifelength of ALL BULBS Ex. : Lightbulb Example “Upper Tail test”, “One Tail Test” (p. 329) Data : level test, RR :  ¢ Should ¡ " is probably ¢ The true value of than ¢ ¡ ¡ £ ¤ £ $ £ ¡ ¡ ¡¡ ¡ ¡ £ ¢ is © © ¡© © $ $ is POSITIVE and LARGE  ¢ ¢ ¢ If ¢ true value is. ¤ , whatever that  " ¡ £ ¡ ¤ ¢  ) ¥ ¡ is clo...
View Full Document

This note was uploaded on 12/15/2011 for the course STA 2023 taught by Professor Ripol during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online