QuestionQuestion 13 of 20
Find the critical $x^{2}$-values to test the claim $\sigma^{2}=4.3$ if $n=12$ and $\alpha=0.05$. A. $3.053,24.725$ B. $3.816,21.920$ C. $4.575,19.675$ D. $2.603,26.757$

Studdy Solution
Look up the critical values in the chi-square distribution table for $df = 11$ and $\alpha/2 = 0.025$.
- The critical value for the lower tail ($\alpha/2 = 0.025$) is approximately $\chi^2_{0.025, 11} = 3.816$. - The critical value for the upper tail ($1-\alpha/2 = 0.975$) is approximately $\chi^2_{0.975, 11} = 21.920$.
The critical chi-square values are:
$$\boxed{3.816, 21.920}$$