1. The problem is to find the critical values for a Chi-Square distribution with significance level $\alpha = 0.01$ and sample size $n = 28$ for a two-tailed test. 2. The degrees of freedom (df) for the Chi-Square distribution is $df = n - 1 = 28 - 1 = 27$. 3. For a two-tailed test at level $\alpha = 0.01$, the critical values correspond to the $\frac{\alpha}{2} = 0.005$ and $1 - \frac{\alpha}{2} = 0.995$ quantiles of the Chi-Square distribution with 27 degrees of freedom. 4. Using a Chi-Square distribution table or calculator, find the critical values: - Lower critical value (left tail): $\chi^2_{0.005, 27} \approx 10.982$ - Upper critical value (right tail): $\chi^2_{0.995, 27} \approx 47.646$ 5. The smaller value goes in Blank 1 and the larger value goes in Blank 2. Final answer: Blank 1 = $10.982$ Blank 2 = $47.646$