Find the critical value $$\mathrm { F } _ { 0 }$$ to test the claim that $$ \sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } \text {. }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. Use $$\alpha = 0.05$$ $$\begin{array} { l l }
\mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \
\
\mathrm {~s} _ { 1 } ^ { 2 } = 3.61 & \mathrm {~s} _ { 2 } ^ { 2 } = 2.25
\end{array}$$
A)2.15
B)2.21
C)2.14
D)2.09

Question

Find the critical value $$\mathrm { F } _ { 0 }$$ to test the claim that $$ \sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } \text {. }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. Use $$\alpha = 0.05$$ $$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \
\
\mathrm {~s} _ { 1 } ^ { 2 } = 3.61 & \mathrm {~s} _ { 2 } ^ { 2 } = 2.25
\end{array}$$
A)2.15
B)2.21
C)2.14
D)2.09

Quizplus · Accepted Answer

The critical value for the F-test with $$\alpha = 0.05, \mathrm {~n} _ { 1 } = 25, \text { and } \mathrm {~n} _ { 2 } = 30$$ is 2.15.

Find the Critical Value F0\mathrm { F } _ { 0 }F0​

Find the Critical Value $\mathrm { F } _ { 0 }$