Find Critical Values for the Chi-Square Distribution
-Find the critical values, $\chi _ { 1 } ^ { 2 } - \alpha / 2$ and $\chi _ { \alpha / 2 } ^ { 2 }$, for $98 \%$ confidence and $\mathrm { n } = 20$.
A) $7.633$ and 36.191
B) $6.844$ and $27.204$
C) $8.907$ and $38.582$
D) $10.117$ and $32.852$

Question

Quizplus · Accepted Answer

For a 98% confidence level and n = 20 (degrees of freedom = n - 1 = 19), the critical values for the Chi-Square distribution can be found using statistical tables or software. The correct values are $\chi _ { 0.01 } ^ { 2 } = 7.633$ and $\chi _ { 0.99 } ^ { 2 } = 36.191$, corresponding to the lower and upper critical values, respectively, for a two-tailed test.

Find Critical Values for the Chi-Square Distribution -Find the Critical χ12−α/2\chi _ { 1 } ^ { 2 } - \alpha / 2χ12​−α/2

Find Critical Values for the Chi-Square Distribution
-Find the Critical $\chi _ { 1 } ^ { 2 } - \alpha / 2$