Determine the p-value of the test. [closed]
$begingroup$
Consider dataset $x_1;x_2;...;x_{15}$ which may be modeled as the realization of a random sample from a distribution with probability density: $f(x)=begin{cases}0 & x < 0\e^{-(x-Theta)} & x geq 0end{cases}$.
We are testing the null hypothesis $Theta=0$ against the alternative hypothesis $Theta>0$, with test statistic $T= min{X_1;X_2;...;X_{15}}$.
Big values of T support the alternative hypothesis.
Suppose the value of T is equal $t=0.1$.
Determine the p-value of the test.
Hint: If $X_1;X_2;...;X_n$ is a sample from an $Exp(lambda)$ distribution, then $min{X_1;X_2;...;X_n}$ has an $Exp(nlambda)$ distribution.
I have some problem to compute the p-value from the probability density, can someone help me with this problem. Thanks in advance.
statistics
asked Jan 7 at 19:02
Fabio TaccalitiFabio Taccaliti
767
$endgroup$
closed as off-topic by NCh, Chris Custer, amWhy, Adrian Keister, José Carlos Santos Jan 8 at 16:10
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – NCh, Chris Custer, amWhy, Adrian Keister, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Consider dataset $x_1;x_2;...;x_{15}$ which may be modeled as the realization of a random sample from a distribution with probability density: $f(x)=begin{cases}0 & x < 0\e^{-(x-Theta)} & x geq 0end{cases}$.
We are testing the null hypothesis $Theta=0$ against the alternative hypothesis $Theta>0$, with test statistic $T= min{X_1;X_2;...;X_{15}}$.
Big values of T support the alternative hypothesis.
Suppose the value of T is equal $t=0.1$.
Determine the p-value of the test.
Hint: If $X_1;X_2;...;X_n$ is a sample from an $Exp(lambda)$ distribution, then $min{X_1;X_2;...;X_n}$ has an $Exp(nlambda)$ distribution.
I have some problem to compute the p-value from the probability density, can someone help me with this problem. Thanks in advance.
statistics
asked Jan 7 at 19:02
Fabio TaccalitiFabio Taccaliti
767
$endgroup$
closed as off-topic by NCh, Chris Custer, amWhy, Adrian Keister, José Carlos Santos Jan 8 at 16:10
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – NCh, Chris Custer, amWhy, Adrian Keister, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Consider dataset $x_1;x_2;...;x_{15}$ which may be modeled as the realization of a random sample from a distribution with probability density: $f(x)=begin{cases}0 & x < 0\e^{-(x-Theta)} & x geq 0end{cases}$.
We are testing the null hypothesis $Theta=0$ against the alternative hypothesis $Theta>0$, with test statistic $T= min{X_1;X_2;...;X_{15}}$.
Big values of T support the alternative hypothesis.
Suppose the value of T is equal $t=0.1$.
Determine the p-value of the test.
Hint: If $X_1;X_2;...;X_n$ is a sample from an $Exp(lambda)$ distribution, then $min{X_1;X_2;...;X_n}$ has an $Exp(nlambda)$ distribution.
I have some problem to compute the p-value from the probability density, can someone help me with this problem. Thanks in advance.
statistics
asked Jan 7 at 19:02
Fabio TaccalitiFabio Taccaliti
767
$endgroup$
Consider dataset $x_1;x_2;...;x_{15}$ which may be modeled as the realization of a random sample from a distribution with probability density: $f(x)=begin{cases}0 & x < 0\e^{-(x-Theta)} & x geq 0end{cases}$.
We are testing the null hypothesis $Theta=0$ against the alternative hypothesis $Theta>0$, with test statistic $T= min{X_1;X_2;...;X_{15}}$.
Big values of T support the alternative hypothesis.
Suppose the value of T is equal $t=0.1$.
Determine the p-value of the test.
Hint: If $X_1;X_2;...;X_n$ is a sample from an $Exp(lambda)$ distribution, then $min{X_1;X_2;...;X_n}$ has an $Exp(nlambda)$ distribution.
I have some problem to compute the p-value from the probability density, can someone help me with this problem. Thanks in advance.
statistics
statistics
asked Jan 7 at 19:02
Fabio TaccalitiFabio Taccaliti
767
asked Jan 7 at 19:02
Fabio TaccalitiFabio Taccaliti
767
asked Jan 7 at 19:02
Fabio TaccalitiFabio Taccaliti
767
asked Jan 7 at 19:02
Fabio TaccalitiFabio Taccaliti
767
asked Jan 7 at 19:02
Fabio TaccalitiFabio Taccaliti
767
767
closed as off-topic by NCh, Chris Custer, amWhy, Adrian Keister, José Carlos Santos Jan 8 at 16:10
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – NCh, Chris Custer, amWhy, Adrian Keister, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by NCh, Chris Custer, amWhy, Adrian Keister, José Carlos Santos Jan 8 at 16:10
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – NCh, Chris Custer, amWhy, Adrian Keister, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
add a comment |
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