For large numbers of degrees of freedom, we can approximate critical values of x2 as follows:

Here k is the number of degrees of freedom and z is the critical value, found in Table A-2. For example, if we want to approximate the two critical values of x2 in a two-tailed hypothesis test with α = 0.05 and a sample size of 150, we let k = 149 with z = - 1.96, followed by k = 149 and z = 1.96.
a. Use this approximation to estimate the critical values of x2 in a two-tailed hypothesis test with n = 101 and α = 0.05. Compare the results to those found in Table A-4.
b. Use this approximation to estimate the critical values of x2 in a two-tailed hypothesis test with n = 150 and α = 0.05.

Transcribed Image Text:

(z + V2k - 1) 2.