Find the critical value or values of $\chi ^ { 2 }$ based on the given information.
-$$\begin{array} { l }
\mathrm { H } _ { 1 } : \sigma

Question

Find the critical value or values of $\chi ^ { 2 }$ based on the given information.
-$$\begin{array} { l } 
\mathrm { H } _ { 1 } : \sigma < 0.629 \
\mathrm { n } = 19 \
\alpha = 0.025
\end{array}$$
A) 8.907
B) 7.015
C) 8.231
D) 31.526

Quizplus · Accepted Answer

Since we are testing for a one-tailed lower bound hypothesis with a 95% level of confidence, we need to find the chi-square value with degrees of freedom equal to n-1 (18) that has an area of 0.025 in the left tail. Using a chi-square table or calculator, we find that the critical value is 8.231. Therefore, the correct choice is C.

Find the Critical Value or Values Of χ2\chi ^ { 2 }χ2

Find the Critical Value or Values Of $\chi ^ { 2 }$