Find Critical Values for the Chi-Square Distribution
-Find the critical values, $\chi _ { 1 } ^ { 2 } - \alpha / 2$ and $\chi _ { \alpha / 2 } ^ { 2 }$, for $99 \%$ confidence and $n = 10$.
A) $1.735$ and $23.587$
B) $2.156$ and $25.188$
C) $2.088$ and $21.666$
D) $2.558$ and $23.209$

Question

Quizplus · Accepted Answer

For a 99% confidence level and $n = 10$, the degrees of freedom ($df$) is $n - 1 = 9$. Looking up the critical values in a chi-square distribution table for $df = 9$ and a confidence level of 99%, the critical values are approximately $1.735$ for $\chi _ { 1 } ^ { 2 } - \alpha / 2$ and $23.587$ for $\chi _ { \alpha / 2 } ^ { 2 }$, which matches option A.

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 $\chi _ { 1 } ^ { 2 } - \alpha / 2$