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November 14th, 2012, 02:39 PM  #1 
Member Joined: May 2012 Posts: 56 Thanks: 0  Confidence Intervals...
Let X1, X2, ... , Xn be a random sample from , where both parameters and are unknown. A confidence interval for can be found as follows. We know that is a random varible with distribution. Thus we can find constants a and b so that and . a) Show that this second probability statement can be written as . I could do this by flipping all of them, changing the signs...and then mulitplying all of them by (n1)S^2. b) If n=9 adn s^2 = 7.93, find a 95% confidence interval for . Here, I just substitute n=9 and s^2=7.93 to the formula, right? c) If is known, how would you modify the preceding procedure for finding a confidence interval for . I am confused with this one...so can anybody give me a hint or something? Thanks in advance 

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