Final answer:
The critical values of χ2 for h1: σ ≠ 8.0, with n = 10 and α = 0.01, are 3.940 and 18.307.
Step-by-step explanation:
To find the critical values of χ2, we consider the chi-square distribution table for a two-tailed test with α = 0.01 and degrees of freedom (df) = n - 1 = 10 - 1 = 9. From the chi-square table, for α = 0.01 and df = 9, the critical values are 3.940 (lower critical value) and 18.307 (upper critical value). These values mark the boundaries of the critical region for the rejection of the null hypothesis h0 in favor of the alternative hypothesis h1 when conducting a chi-square test of variance.
The chi-square distribution table provides critical values that correspond to specific probabilities (α) and degrees of freedom. In this case, with a two-tailed test and α = 0.01, the critical values