A contradiction in contrast hypothesis in 2 variables // p-value=0?












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I am doing a problem of hypothesis contrast and I have left the following results for the variable $X$ and $Y$ both normally distributed variables. For several sections I have obtained the following results




  • For $mu_X = 5$ -- I can not refuse this hypothesis

  • For $mu_Y = 4.6$ -- I can not reject this hypothesis

  • For $mu_X - mu_Y <0.15$ -- I can not reject this hypothesis.


The difference between $mu_X - mu_Y = 0.4$ and in the third tells me that it is less than 0,15 so I do not know if it is due to the normal deviation (that I don't know) of the normal distribution or it is for another reason.



Then also another question: can it be the case to obtain a p-value equal to $0$?










share|cite|improve this question











$endgroup$

















    1












    $begingroup$


    I am doing a problem of hypothesis contrast and I have left the following results for the variable $X$ and $Y$ both normally distributed variables. For several sections I have obtained the following results




    • For $mu_X = 5$ -- I can not refuse this hypothesis

    • For $mu_Y = 4.6$ -- I can not reject this hypothesis

    • For $mu_X - mu_Y <0.15$ -- I can not reject this hypothesis.


    The difference between $mu_X - mu_Y = 0.4$ and in the third tells me that it is less than 0,15 so I do not know if it is due to the normal deviation (that I don't know) of the normal distribution or it is for another reason.



    Then also another question: can it be the case to obtain a p-value equal to $0$?










    share|cite|improve this question











    $endgroup$















      1












      1








      1





      $begingroup$


      I am doing a problem of hypothesis contrast and I have left the following results for the variable $X$ and $Y$ both normally distributed variables. For several sections I have obtained the following results




      • For $mu_X = 5$ -- I can not refuse this hypothesis

      • For $mu_Y = 4.6$ -- I can not reject this hypothesis

      • For $mu_X - mu_Y <0.15$ -- I can not reject this hypothesis.


      The difference between $mu_X - mu_Y = 0.4$ and in the third tells me that it is less than 0,15 so I do not know if it is due to the normal deviation (that I don't know) of the normal distribution or it is for another reason.



      Then also another question: can it be the case to obtain a p-value equal to $0$?










      share|cite|improve this question











      $endgroup$




      I am doing a problem of hypothesis contrast and I have left the following results for the variable $X$ and $Y$ both normally distributed variables. For several sections I have obtained the following results




      • For $mu_X = 5$ -- I can not refuse this hypothesis

      • For $mu_Y = 4.6$ -- I can not reject this hypothesis

      • For $mu_X - mu_Y <0.15$ -- I can not reject this hypothesis.


      The difference between $mu_X - mu_Y = 0.4$ and in the third tells me that it is less than 0,15 so I do not know if it is due to the normal deviation (that I don't know) of the normal distribution or it is for another reason.



      Then also another question: can it be the case to obtain a p-value equal to $0$?







      statistics normal-distribution statistical-inference






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 4 '18 at 15:44







      Fernando

















      asked Dec 2 '18 at 15:05









      FernandoFernando

      495




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