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 $0$?
statistics normal-distribution statistical-inference
$endgroup$
add a comment |
$begingroup$
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 $0$?
statistics normal-distribution statistical-inference
$endgroup$
add a comment |
$begingroup$
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 $0$?
statistics normal-distribution statistical-inference
$endgroup$
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
statistics normal-distribution statistical-inference
edited Dec 4 '18 at 15:44
Fernando
asked Dec 2 '18 at 15:05
FernandoFernando
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495
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