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.To find x using the chi-square table, we: 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. Determine the chi-square value where the \(r\) row and the probability column intersect.Find the column headed by the probability of interest.Find the row that corresponds to the relevant degrees of freedom, \(r\).In summary, here are the steps you should use in using the chi-square table to find a chi-square value:
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