Critical Values Sir R. A. Fisher, a famous statistician, showed that the critical values of a chi-square distribution can be approximated by the standard normal distribution
χ²_k = [(z_k + √(2v – 1)) / 2]²
where v is the degrees of freedom and z_k is the z-score such that the area under the standard normal curve to the right of z_k is k. Use Fisher’s approximation to find χ²_0.975 and χ²_0.025 with 100 degrees of freedom. Compare the results with those found in Table VIII.


