How do you use a chi square table?

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SUMMARY

The discussion centers on using a chi-square table to find the probability P(X < 5.23) for a random variable X with a moment generating function (mgf) of (1-2t)-6. The degree of freedom is confirmed to be r=3. Participants emphasize the importance of understanding the specific chi-square table being used, as different tables may present data for left or right tails. If a chi-square table is unavailable, an alternative method involves expressing the probability in terms of a definite integral.

PREREQUISITES
  • Understanding of moment generating functions (mgf)
  • Familiarity with chi-square distribution and tables
  • Knowledge of probability concepts, specifically cumulative distribution functions
  • Basic calculus for evaluating definite integrals
NEXT STEPS
  • Research how to read and interpret chi-square tables effectively
  • Learn about the properties of moment generating functions in probability theory
  • Study the relationship between chi-square distributions and degrees of freedom
  • Explore techniques for evaluating definite integrals in probability contexts
USEFUL FOR

Students in statistics, data analysts, and anyone needing to apply chi-square tests or interpret probability distributions in their work.

Artusartos
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For example, if the moment generating function is (1-2t)^(-6), then the degree of freedom r=3, right? The question is asking me to find P(X< 5.23)...I want to use the chi-square table, but I'm not sure how...


This is what the question states:

If (1-2t)^{-6}, t<1/2, is the mgf of the random variabel X, find P(X&lt; 5.23).


Thanks in advance.
 
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Artusartos said:
For example, if the moment generating function is (1-2t)^(-6), then the degree of freedom r=3, right? The question is asking me to find P(X< 5.23)...I want to use the chi-square table, but I'm not sure how...This is what the question states:

If (1-2t)^{-6}, t<1/2, is the mgf of the random variabel X, find P(X&lt; 5.23).Thanks in advance.

Do you have access to a chi-squared table? If you do, just read the user's manual! The point is that sometimes there are different ways of tabulating the same function; some tables might tabulate the left tail, others the right tail, etc. You need to read the instructions that come with the table, or at least look at the table captions.

If you do not have access to a chi-squared table, you can always express the answer in terms of a definite integral and then evaluate it is some way. There are many possibilities for this, but first you need to have the integral written down.

RGV
 
Last edited:
Ray Vickson said:
Do you have access to a chi-squared table? If you do, just read the user's manual! The point is that sometimes there are different ways of tabulating the same function; some tables might tabulate the left tail, others the right tail, etc. You need to read the instructions that come with the table, or at least look at the table captions.

If you do not have access to a chi-squared table, you can always express the answer in terms of a definite integral and then evaluate it is some way. There are many possibilities for this, but first you need to have the integral written down.

RGV

Thanks a lot...I just asked my professor about this, and I think I understand it now :)
 

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