
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 15th, 2016, 12:31 PM  #1 
Newbie Joined: Dec 2016 From: Trinidad and Tobago Posts: 5 Thanks: 0  Chebychev, where mean is not in the middle of the estimated interval
One more question, can you maybe help me again? Fiftyfive percent of all students on a campus are in Humanities. If 150 students are selected at random, what is the probability that the proportion of Humanities students in this particular sample will be between 45% and 55%. I did the following 150*0.55=82.5 150*0.45=67.5 P(67.5<X<82.5) σ²=np(1p)=37.125 Here comes where I´m not quite sure 15=kσ k=15/σ k=15/√σ² k=15/√37.25 k=0.1654 Thanks in advance! 
December 15th, 2016, 12:54 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,338 Thanks: 532 
15=kσ Where did 15 come from? What is k supposed to be? 
December 15th, 2016, 01:01 PM  #3 
Newbie Joined: Dec 2016 From: Trinidad and Tobago Posts: 5 Thanks: 0 
I posted the whole question. That's all that was given. 15 is 82.567.5 Therefore the interval I want to calculate. And if I understood it correctly That distance (15) equals kσ 15=kσ k=15/σ k=15/√σ² k=15/√37.25 k=0.1654 As I already stated. The Problem I'm having is that the mean is not in the middle of the interval. If it would be in the middle it would result in 7.5=kq. However I'm not sure whether I understood it correctly. Last edited by skipjack; December 15th, 2016 at 03:18 PM. 

Tags 
chebychev, estimated, interval, middle 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Chebychev inequality  yeaho26  Advanced Statistics  2  December 15th, 2016 12:02 PM 
Estimated Volume of a Solid Hemisphere  jaredbeach  Calculus  9  January 12th, 2012 08:49 PM 
Is it by chebychev's inequality?  Anton29  Advanced Statistics  18  December 5th, 2011 05:01 PM 
How do you solve this? Chebychev's inequality  steve123  Advanced Statistics  2  August 1st, 2010 06:28 PM 
models which could be estimated using OLS?  billy  Linear Algebra  0  April 28th, 2010 06:40 PM 