Consider the following hypothesis problem. $$\begin{array} { l l }
n = 30 & H _ { 0 } : \sigma ^ { 2 } = 500 \
s 2 = 625 & H _ { \mathrm { a } } : \sigma ^ { 2 } ? 500
\end{array}$$ The null hypothesis is to be tested at the 5% level of significance.The critical value(s) from the chi-square distribution table is(are)

Question

Consider the following hypothesis problem. $$\begin{array} { l l } 
n = 30 & H _ { 0 } : \sigma ^ { 2 } = 500 \
s 2 = 625 & H _ { \mathrm { a } } : \sigma ^ { 2 } ? 500
\end{array}$$  The null hypothesis is to be tested at the 5% level of significance.The critical value(s) from the chi-square distribution table is(are)

Quizplus · Accepted Answer

The critical values for a chi-square distribution with 29 degrees of freedom at the 5% level of significance are 16.047 and 45.722.

Consider the Following Hypothesis Problem n=30H0:σ2=500s2=625Ha:σ2?500\begin{array} { l l } n = 30 & H _ { 0 } : \sigma ^ { 2 } = 500 \\s 2 = 625 & H _ { \mathrm { a } } : \sigma ^ { 2 } ? 500\end{array}n=30s2=625​H0​:σ2=500Ha​:σ2?500​

Consider the Following Hypothesis Problem $\begin{array} { l l } n = 30 & H _ { 0 } : \sigma ^ { 2 } = 500 \\s 2 = 625 & H _ { \mathrm { a } } : \sigma ^ { 2 } ? 500\end{array}$