Consider the following hypothesis problem. $\begin{array}{lll}
n=23 & s^{2}=60 & H_{0}: \sigma^{2}=66 \
&& H_{\mathrm{a}}: \sigma^{2}66
\end{array}$
If the test is to be performed at the 5% level, the critical value(s) from the chi-square distribution table is(are)

Question

Consider the following hypothesis problem. $\begin{array}{lll}
n=23 & s^{2}=60 & H_{0}: \sigma^{2}=66 \
&& H_{\mathrm{a}}: \sigma^{2}>66
\end{array}$  
If the test is to be performed at the 5% level, the critical value(s) from the chi-square distribution table is(are)

Quizplus · Accepted Answer

For a chi-square test with $ n-1 = 22 $ degrees of freedom and a significance level of 5% for a one-tailed test, the critical value is 33.924.

Consider the Following Hypothesis Problem n=23s2=60H0:σ2=66Ha:σ2>66\begin{array}{lll}n=23 & s^{2}=60 & H_{0}: \sigma^{2}=66 \\&& H_{\mathrm{a}}: \sigma^{2}>66\end{array}n=23​s2=60​H0​:σ2=66Ha​:σ2>66​

Consider the Following Hypothesis Problem $\begin{array}{lll}n=23 & s^{2}=60 & H_{0}: \sigma^{2}=66 \\&& H_{\mathrm{a}}: \sigma^{2}>66\end{array}$