![]() Now, all we need to do is read the chi-square value where the \(r=10\) row and the \(P(X\le x)=0.10\) column intersect. Find the column headed by \(P(X\le x)=0.10\).To find x using the chi-square table, we: The tenth percentile is the chi-square value \(x\) such that the probability to the left of \(x\) is 0.10. Now, all we need to do is read the chi-square value where the \(r=10\) row and the \(P(X\le x)=0.95\) column intersect. Find the column headed by \(P(X\le x)=0.95\).Find \(r=10\) in the first column on the left. ![]() The upper fifth percentile is the chi-square value x such that the probability to the right of \(x\) is 0.05, and therefore the probability to the left of \(x\) is 0.95. Let's get a bit more practice now using the chi-square table. statistical software, such as SAS or Minitab! For what we'll be doing in Stat 414 and 415, the chi-square table will (mostly) serve our purpose. What would you do if you wanted to find the probability that a chi-square random variable with 5 degrees of freedom was less than 6.2, say? Well, the answer is, of course. For example, if you have a chi-square random variable with 5 degrees of freedom, you could only find the probabilities associated with the chi-square values of 0.554, 0.831, 1.145, 1.610, 9.236, 11.07, 12.83, and 15.09: P( X ≤ x) But, as you can see, the table is pretty limited in that direction. Now, at least theoretically, you could also use the chi-square table to find the probability associated with a particular chi-square value.
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