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[answered] A research team took a random sample of 3 observations from


A research team took a random sample of 3 observations from a normally distributed random variable Y and observed that ?and , where ?is the average of the three observations sampled from Y and ?is the unbiased estimate of . Find the 99% confidence interval for .


A research team took a random sample of 3 observations from a normally distributed

 

random variable Y and observed that

 

and

 

, where

 

is the

 

y 3 354.1

 

y3

 

sY2 142.2

 

average of the three observations sampled from Y and

 

is the unbiased estimate of

 

sY2

 

. Find the 99% confidence interval for

 

.

 

var(Y )

 

E (Y )

 


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