find 95% confidence interval












0














Consider the estimation of α in



$frac{2}{alpha^2}(alpha -x)$ , $0<x<alpha$



Suppose you only have one observation. Find a 95% confidence interval using the statistical method.



To solve it, calculate $alpha$ parameter by the maximum likelihood method.



$hat alpha=2x$



My question is, what do I do next?
I am confused that it is a single sample, so I am not sure that the central limit theorem can be used to obtain $N (0,1)$ because I need $n>30$



Can anybody help me?










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    0














    Consider the estimation of α in



    $frac{2}{alpha^2}(alpha -x)$ , $0<x<alpha$



    Suppose you only have one observation. Find a 95% confidence interval using the statistical method.



    To solve it, calculate $alpha$ parameter by the maximum likelihood method.



    $hat alpha=2x$



    My question is, what do I do next?
    I am confused that it is a single sample, so I am not sure that the central limit theorem can be used to obtain $N (0,1)$ because I need $n>30$



    Can anybody help me?










    share|cite|improve this question

























      0












      0








      0







      Consider the estimation of α in



      $frac{2}{alpha^2}(alpha -x)$ , $0<x<alpha$



      Suppose you only have one observation. Find a 95% confidence interval using the statistical method.



      To solve it, calculate $alpha$ parameter by the maximum likelihood method.



      $hat alpha=2x$



      My question is, what do I do next?
      I am confused that it is a single sample, so I am not sure that the central limit theorem can be used to obtain $N (0,1)$ because I need $n>30$



      Can anybody help me?










      share|cite|improve this question













      Consider the estimation of α in



      $frac{2}{alpha^2}(alpha -x)$ , $0<x<alpha$



      Suppose you only have one observation. Find a 95% confidence interval using the statistical method.



      To solve it, calculate $alpha$ parameter by the maximum likelihood method.



      $hat alpha=2x$



      My question is, what do I do next?
      I am confused that it is a single sample, so I am not sure that the central limit theorem can be used to obtain $N (0,1)$ because I need $n>30$



      Can anybody help me?







      statistics statistical-inference parameter-estimation






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Nov 21 '18 at 7:31









      Jazmín Jones

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