AssessingtheUnusualnessofaSampleMeanUsingtheCentralLimitTheoremAssumethatapopulationisnormallydistributedwithameanof100andastandarddeviationof15.Woulditbeunusualforthemeanofasampleof3tobe115ormore?Whyorwhynot?Solution:LetXbethesamplemeanofsize3.Giventhepopulationmean#=100andstandarddeviationo=15.BytheCentralLimitTheorem,Xxfollowsanormaldistributionwithmeanx;=100andstandarddeviationofoz=F=1%=8.66.So,theprobabilityofgettingsamplemeantobe115ormoreisP(X2115)=1-P(X<115)LetZz=21%ThenZfollowsthestandardnormaldistributionN(O,1).So,Assessing the Unusualness of a Sample Mean Using the Central Limit Theorem
An analysis using the Central Limit Theorem to assess the unusualness of a sample mean in statistical hypothesis testing.
Caleb Patterson
Contributor
4.3
0
12 months ago
Preview (2 of 1 Pages)
100%
Log in to unlock
Study Now!
X-Copilot AI
Unlimited Access
Secure Payment
Instant Access
24/7 Support
Document Chat
Document Details
Subject
Statistics